107

<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" colspan=3 height=24 BGCOLOR="#003333" TEXT="#F7F7FF"> <div> <FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>M</B></FONT><FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>atemáticas de la U</B></FONT><B> (MatU)  | </B><A HREF="http://www.jcbmat.com/" TARGET="_top" TITLE="http://www.jcbmat.com/"><U><B>Home</B></U></A><B> | </B><A HREF="index.htm" TARGET="_top" TITLE="Álgebra de Baldor"><U><B>Algebra de Baldor</B></U></A><B> |  </B><A HREF="id1076.htm" TARGET="_top" TITLE="Índice temático"><U><B>Índice temático</B></U></A><B>  |  </B><A HREF="id1073.htm" TARGET="_top" TITLE="Lista"><U><B>Lista de Ejercicios</B></U></A><B> |</B></div> </td> </tr><tr> <td valign="top" rowspan="2" width=165 BGCOLOR="#FFFFFF" TEXT="#080000"> <bR> <div> <B> <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:160px;height:600px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="3073775660"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </B></div> </td> <td valign="top" height=432 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B>107</B></div> <div> <B>Descomposición factorial</B></div> <div> <B>Combinación de casos de factores</B></div> <div> <B>Descomposición de una expresión algebraica en tres factores</B></div> <bR> <div>  <script async src="https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:970px;height:250px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="8553279920"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> <div> <B>P r o c e d i m i e n t o</B></div> <div> <B>1.</B><FONT SIZE="4" COLOR="#00CC00" FACE="Times New Roman" ><B>  </B></FONT><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >Se saca el factor común</FONT></div> <div> <FONT SIZE="4" COLOR="#FF9900" FACE="Times New Roman" ><B>2.</B></FONT>  Se factoriza la expresión resultante, aplicando el método de factorización requerido por la forma del polinomio (estudiados en los diez casos de factorización: Ejercicios <FONT SIZE="4" COLOR="#FF0000" FACE="Times New Roman" >89</FONT> a <FONT SIZE="4" COLOR="#FF0000" FACE="Times New Roman" >110</FONT>)</div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <B>Enunciados y enlaces a las soluciones de los problemas del Ejercicio 107</B></div> <bR> <div> <B>          S</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >olución en imagen <IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> y o video <IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"> de los sesenta y dos  problemas del Ejercicio 107:</FONT></div> <div> <B>D</B><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >escomponer en factores:</FONT></div> <div> <IMG SRC="7fa269170.gif" border=0 width="105" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#1" TITLE="107"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>        <IMG SRC="7fa37c170.gif" border=0 width="124" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#2" TITLE="107"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="7fa4b5170.gif" border=0 width="181" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#3" TITLE="107"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>        <IMG SRC="7fa558170.gif" border=0 width="88" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#4" TITLE="107"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="7fa690170.gif" border=0 width="144" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="#5" TITLE="107"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <div> <FONT SIZE="4" COLOR="#111111" FACE="Bell MT" ><IMG SRC="7fa798170.gif" border=0 width="152" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="#6" TITLE="107"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fa8791b0.gif" border=0 width="121" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="#7" TITLE="107"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fa9b0170.gif" border=0 width="176" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="#8" TITLE="107"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7faa7b170.gif" border=0 width="123" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="#9" TITLE="107"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <FONT SIZE="4" COLOR="#111111" FACE="Bell MT" ><IMG SRC="7fab97170.gif" border=0 width="151" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="#10" TITLE="107"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7faca7170.gif" border=0 width="167" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="#11" TITLE="107"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >        <IMG SRC="7fada41b0.gif" border=0 width="164" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="#12" TITLE="107"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >        <IMG SRC="7fae9b170.gif" border=0 width="155" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/xnAYO2diuxE" TARGET="_top" TITLE="https://youtu.be/xnAYO2diuxE"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <FONT SIZE="4" COLOR="#111111" FACE="Bell MT" ><IMG SRC="7fafd31b0.gif" border=0 width="211" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/Gt0Lfpa044Y" TARGET="_top" TITLE="https://youtu.be/Gt0Lfpa044Y"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <FONT SIZE="4" COLOR="#111111" FACE="Bell MT" ><A HREF="https://youtu.be/Gt0Lfpa044Y" TARGET="_top" TITLE="https://youtu.be/Gt0Lfpa044Y"><U><IMG SRC="7fb0cf1b0.gif" border=0 width="207" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT><A HREF="https://youtu.be/dd5l0wYrTv8" TARGET="_top" TITLE="https://youtu.be/dd5l0wYrTv8"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fb16c170.gif" border=0 width="108" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/7klivVcqbaQ" TARGET="_top" TITLE="https://youtu.be/7klivVcqbaQ"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fb29c170.gif" border=0 width="156" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/7klivVcqbaQ" TARGET="_top" TITLE="https://youtu.be/7klivVcqbaQ"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <FONT SIZE="4" COLOR="#111111" FACE="Bell MT" ><IMG SRC="7fb361170.gif" border=0 width="97" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/-TrWCFXSHbY" TARGET="_top" TITLE="https://youtu.be/-TrWCFXSHbY"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fb475170.gif" border=0 width="117" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/-TrWCFXSHbY" TARGET="_top" TITLE="https://youtu.be/-TrWCFXSHbY"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <FONT SIZE="4" COLOR="#111111" FACE="Bell MT" ><IMG SRC="7fb5c4170.gif" border=0 width="196" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/_3ke9sTeZjo" TARGET="_top" TITLE="https://youtu.be/_3ke9sTeZjo"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fb691170.gif" border=0 width="145" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/_3ke9sTeZjo" TARGET="_top" TITLE="https://youtu.be/_3ke9sTeZjo"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <FONT SIZE="4" COLOR="#111111" FACE="Bell MT" ><IMG SRC="7fb7cc170.gif" border=0 width="204" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/QtIXcezvK7U" TARGET="_top" TITLE="https://youtu.be/QtIXcezvK7U"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fb8e31b0.gif" border=0 width="227" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/QtIXcezvK7U" TARGET="_top" TITLE="https://youtu.be/QtIXcezvK7U"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <div> <IMG SRC="7fb9001f0.gif" border=0 width="256" height="31" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/BMLjQcEe2VA" TARGET="_top" TITLE="https://youtu.be/BMLjQcEe2VA"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="7fbaef170.gif" border=0 width="239" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/BMLjQcEe2VA" TARGET="_top" TITLE="https://youtu.be/BMLjQcEe2VA"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="7fbba4170.gif" border=0 width="164" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/s87OIaW8x48" TARGET="_top" TITLE="https://youtu.be/s87OIaW8x48"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="7fbc9f170.gif" border=0 width="159" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/s87OIaW8x48" TARGET="_top" TITLE="https://youtu.be/s87OIaW8x48"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="7fbd8d200.gif" border=0 width="141" height="32" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/s87OIaW8x48" TARGET="_top" TITLE="https://youtu.be/s87OIaW8x48"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="7fbe9c170.gif" border=0 width="156" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/xmK-bAVIP1E" TARGET="_top" TITLE="https://youtu.be/xmK-bAVIP1E"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="7fbf5c170.gif" border=0 width="92" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/xmK-bAVIP1E" TARGET="_top" TITLE="https://youtu.be/xmK-bAVIP1E"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="7fc0f81b0.gif" border=0 width="248" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/xmK-bAVIP1E" TARGET="_top" TITLE="https://youtu.be/xmK-bAVIP1E"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       </div> <div> <FONT SIZE="4" COLOR="#111111" FACE="Bell MT" ><IMG SRC="7fc190170.gif" border=0 width="144" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/zh7pG4m_O1A" TARGET="_top" TITLE="https://youtu.be/zh7pG4m_O1A"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <FONT SIZE="4" COLOR="#111111" FACE="Bell MT" ><IMG SRC="7fc2901b0.gif" border=0 width="144" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/zh7pG4m_O1A?t=170" TARGET="_top" TITLE="https://youtu.be/zh7pG4m_O1A?t=170"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >      <IMG SRC="7fc398170.gif" border=0 width="152" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/zh7pG4m_O1A?t=421" TARGET="_top" TITLE="https://youtu.be/zh7pG4m_O1A?t=421"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fc497170.gif" border=0 width="151" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/XQh4TieYdFg" TARGET="_top" TITLE="https://youtu.be/XQh4TieYdFg"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fc5d4170.gif" border=0 width="212" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/XQh4TieYdFg?t=359" TARGET="_top" TITLE="https://youtu.be/XQh4TieYdFg?t=359"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fc6c7170.gif" border=0 width="199" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/XQh4TieYdFg?t=572" TARGET="_top" TITLE="https://youtu.be/XQh4TieYdFg?t=572"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fc787170.gif" border=0 width="135" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/tjNMCQcGE0I" TARGET="_top" TITLE="https://youtu.be/tjNMCQcGE0I"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fc8911b0.gif" border=0 width="145" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/tjNMCQcGE0I?t=156" TARGET="_top" TITLE="https://youtu.be/tjNMCQcGE0I?t=156"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fc9cd170.gif" border=0 width="205" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/tjNMCQcGE0I?t=282" TARGET="_top" TITLE="https://youtu.be/tjNMCQcGE0I?t=282"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fca9b170.gif" border=0 width="155" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/Y_Q92JqdP2A" TARGET="_top" TITLE="https://youtu.be/Y_Q92JqdP2A"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fcbd51b0.gif" border=0 width="213" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/Y_Q92JqdP2A?t=243" TARGET="_top" TITLE="https://youtu.be/Y_Q92JqdP2A?t=243"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >     <IMG SRC="7fcc0c1f0.gif" border=0 width="268" height="31" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/Y_Q92JqdP2A?t=533" TARGET="_top" TITLE="https://youtu.be/Y_Q92JqdP2A?t=533"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >      <IMG SRC="7fcdac1b0.gif" border=0 width="172" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/sMPHH_w2iS0" TARGET="_top" TITLE="https://youtu.be/sMPHH_w2iS0"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fceed1b0.gif" border=0 width="237" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/sMPHH_w2iS0?t=218" TARGET="_top" TITLE="https://youtu.be/sMPHH_w2iS0?t=218"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fcf9c170.gif" border=0 width="156" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/sMPHH_w2iS0?t=429" TARGET="_top" TITLE="https://youtu.be/sMPHH_w2iS0?t=429"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fd095200.gif" border=0 width="149" height="32" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/B3CTBIcT2tQ?t=29" TARGET="_top" TITLE="https://youtu.be/B3CTBIcT2tQ?t=29"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fd1a1170.gif" border=0 width="161" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/B3CTBIcT2tQ?t=224" TARGET="_top" TITLE="https://youtu.be/B3CTBIcT2tQ?t=224"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fd2ad170.gif" border=0 width="173" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/B3CTBIcT2tQ?t=355" TARGET="_top" TITLE="https://youtu.be/B3CTBIcT2tQ?t=355"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fd3a8170.gif" border=0 width="168" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/hWZuHuAbW1s?t=31" TARGET="_top" TITLE="https://youtu.be/hWZuHuAbW1s?t=31"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fd4bb200.gif" border=0 width="187" height="32" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/hWZuHuAbW1s?t=426" TARGET="_top" TITLE="https://youtu.be/hWZuHuAbW1s?t=426"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fd5ab170.gif" border=0 width="171" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/hWZuHuAbW1s?t=605" TARGET="_top" TITLE="https://youtu.be/hWZuHuAbW1s?t=605"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fd689170.gif" border=0 width="137" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/dPiv8CYwllc?t=30" TARGET="_top" TITLE="https://youtu.be/dPiv8CYwllc?t=30"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fd7c3170.gif" border=0 width="195" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/dPiv8CYwllc?t=208" TARGET="_top" TITLE="https://youtu.be/dPiv8CYwllc?t=208"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fd8a4170.gif" border=0 width="164" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/dPiv8CYwllc?t=633" TARGET="_top" TITLE="https://youtu.be/dPiv8CYwllc?t=633"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fd9e3170.gif" border=0 width="227" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="#56" TITLE="107"><U><IMG SRC="598018180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A>       <FONT SIZE="4" COLOR="#111111" FACE="Bell MT" ><IMG SRC="7fdad4170.gif" border=0 width="212" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/ADWxDovKPC8?t=29" TARGET="_top" TITLE="https://youtu.be/ADWxDovKPC8?t=29"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fdb8f1b0.gif" border=0 width="143" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/ADWxDovKPC8?t=456" TARGET="_top" TITLE="https://youtu.be/ADWxDovKPC8?t=456"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       <IMG SRC="7fdcd4170.gif" border=0 width="212" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></FONT><A HREF="https://youtu.be/9P4M121T9IY?t=32" TARGET="_top" TITLE="https://youtu.be/9P4M121T9IY?t=32"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><FONT SIZE="4" COLOR="#111111" FACE="Bell MT" >       </FONT></div> <div> <IMG SRC="7fdd611b0.gif" border=0 width="353" height="27" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/9P4M121T9IY?t=250" TARGET="_top" TITLE="https://youtu.be/9P4M121T9IY?t=250"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="7fde84200.gif" border=0 width="132" height="32" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/fE5iaEZnf1U?t=30" TARGET="_top" TITLE="https://youtu.be/fE5iaEZnf1U?t=30"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT>       <IMG SRC="7fdf99170.gif" border=0 width="153" height="23" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" ><A HREF="https://youtu.be/fE5iaEZnf1U?t=182" TARGET="_top" TITLE="https://youtu.be/fE5iaEZnf1U?t=182"><U><IMG SRC="598118180.jpg" border=0 width="24" height="24" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></FONT></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <B>Soluciones de los problemas del Ejercicio 107</B></div> <bR> <div> <B> <iframe width="560" height="315" src="https://www.youtube.com/embed/videoseries?list=PLq_SQwoOZHo0zEbrWr4jDTkCSkZCEC673" frameborder="0" allowfullscreen></iframe>  </B></div> <bR> <div> <B>D</B><FONT SIZE="4" COLOR="#000000" FACE="Times New Roman" >escomponer en tres factores:</FONT></div> <div>  <A NAME="1"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1</div> <div> <IMG SRC="5ed4936f0.gif" border=0 width="659" height="111" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="2"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>2</div> <div> <IMG SRC="5ed5d56f0.gif" border=0 width="725" height="111" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="3"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>3</div> <div> <IMG SRC="5ed6d96f0.gif" border=0 width="729" height="111" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="4"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>4</div> <div> <IMG SRC="5d86776f0.gif" border=0 width="631" height="111" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="5"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>5</div> <div> <IMG SRC="5ed7ef6f0.gif" border=0 width="751" height="111" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="6"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>6</div> <div> <IMG SRC="5ed8488b0.gif" border=0 width="840" height="139" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="7"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>7</div> <div> <IMG SRC="5ed9816f0.gif" border=0 width="641" height="111" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="8"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>8</div> <div> <IMG SRC="5d87d56f0.gif" border=0 width="725" height="111" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="9"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>9</div> <div> <IMG SRC="5edaf36f0.gif" border=0 width="755" height="111" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="10"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>10</div> <div> <IMG SRC="5edbd9a70.gif" border=0 width="985" height="167" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="11"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>11</div> <div> <IMG SRC="5edcd16f0.gif" border=0 width="721" height="111" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="12"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>12</div> <div> <IMG SRC="5d88e08b0.gif" border=0 width="736" height="139" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="56"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>56</div> <div> <IMG SRC="5d8dbf5f0.gif" border=0 width="703" height="351" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="http://twitter.com/Calculo21" TARGET="_top" TITLE="http://twitter.com/Calculo21"><U><IMG SRC="2fc828280.jpg" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="http://www.facebook.com/juan.beltran.58511" TARGET="_top" TITLE="http://www.facebook.com/juan.beltran.585"><U><IMG SRC="76fa28280.gif" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="https://www.youtube.com/user/MatematicaAplicadas" TARGET="_top" TITLE="https://www.youtube.com/user/MatematicaA"><U><IMG SRC="2fca28280.jpg" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <bR> <div> Por: <FONT SIZE="4" COLOR="#FF9900" FACE="Times New Roman" >Juan Carlos </FONT><FONT SIZE="4" COLOR="#0000FF" FACE="Times New Roman" >Beltrán</FONT> <FONT SIZE="4" COLOR="#FF0000" FACE="Times New Roman" >Beltrán </FONT></div> <bR> <div>  <script async src="https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:970px;height:250px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="8553279920"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> <div> <A HREF="http://calculo21.com/" TARGET="_top" TITLE="http://calculo21.com/"><U><B><IMG SRC="76fee5530.gif" border=0 width="741" height="83" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> <div> | <A HREF="https://calculo21.com/tabla-de-contenido/funciones-y-sus-graficas/" TARGET="_top" TITLE="https://calculo21.com/tabla-de-contenido"><U>Funciones</U></A> | <A HREF="https://calculo21.com/tabla-de-contenido/limites-y-continuidad/" TARGET="_top" TITLE="https://calculo21.com/tabla-de-contenido"><U>Límites y continuidad</U></A> | <A 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