document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=16559>Question 16559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2x^3-x^2-15x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8105 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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/cgi-bin/show-face.mpl?user=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=8105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First take out the common factor which is x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E3-x%5E2-15x ALIGN=MIDDLE  ALT=\"2x%5E3-x%5E2-15x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%282x%5E2+-+x+-15%29 ALIGN=MIDDLE  ALT=\"x%282x%5E2+-+x+-15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, try to factor the trinomial into the product of two binomials, beginning with the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The only way to break this down is to say 2x *x.  The signs will be opposite, since the last term is a -15.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%282x%2B+_____%29%2A%28x-_____%29 ALIGN=MIDDLE  ALT=\"x%282x%2B+_____%29%2A%28x-_____%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, you need to find a combination of -15, what times what will come out to -15 in such a way that the outer times outer terms will subtract and give you a -1x for the middle term.  The combination that works is 5 times -3, as follows:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%282x%2B5%29%2A%28x-3%29+ ALIGN=MIDDLE  ALT=\"x%282x%2B5%29%2A%28x-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where the outer times outer is -6x and the inner times inner is +5x, for a total of -1x.  That should do it:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%282x%2B5%29%2A%28x-3%29+ ALIGN=MIDDLE  ALT=\"x%282x%2B5%29%2A%28x-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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