document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212823>Question 212823</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor completely relative to the integers. If the polynomial is prime relative to the integers, enter PRIME. \r<BR>\n" );
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document.write( "24(x - 3)(6x + 7)^2 + 15(x - 3)^2(6x + 7) \r<BR>\n" );
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document.write( "Please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160743 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160743\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%28x+-+3%29%286x+%2B+7%29%5E2+%2B+15%28x+-+3%29%5E2%286x+%2B+7%29 ALIGN=MIDDLE  ALT=\"24%28x+-+3%29%286x+%2B+7%29%5E2+%2B+15%28x+-+3%29%5E2%286x+%2B+7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When factoring, always start with the Greatest Common Factor (GCF). In this case you have a GCF (highlighted):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283%29%2A8%2Ahighlight%28%28x+-+3%29%29%2Ahighlight%28%286x+%2B+7%29%29%5E2+%2B+highlight%283%29%2A5%2Ahighlight%28%28x+-+3%29%29%5E2%2Ahighlight%28%286x+%2B+7%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factoring out the GCF we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x+-+3%29%286x+%2B+7%29%2A%288%2A%286x%2B7%29+%2B+5%2A%28x+-+3%29%29 ALIGN=MIDDLE  ALT=\"3%28x+-+3%29%286x+%2B+7%29%2A%288%2A%286x%2B7%29+%2B+5%2A%28x+-+3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we simplify the factor on the right:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x+-+3%29%286x+%2B+7%29%2A%2848x+%2B+56+%2B+5x+-15%29 ALIGN=MIDDLE  ALT=\"3%28x+-+3%29%286x+%2B+7%29%2A%2848x+%2B+56+%2B+5x+-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x+-+3%29%286x+%2B+7%29%2A%2853x+%2B+41%29 ALIGN=MIDDLE  ALT=\"3%28x+-+3%29%286x+%2B+7%29%2A%2853x+%2B+41%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "None of these factors will factor further so we are finished.\r<BR>\n" );
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