document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110400>Question 110400</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can not get this one to come out right.  Can you help?\r<BR>\n" );
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document.write( "Factor.<BR>\n" );
document.write( "-12x^3+36x^2\r<BR>\n" );
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document.write( "Thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80461 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=80461\">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=-12x%5E3%2B36x%5E2 ALIGN=MIDDLE  ALT=\"-12x%5E3%2B36x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "First, enumerate the factors of the first term:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1+%2A+2%2A2%2A3%2Ax%2Ax%2Ax ALIGN=MIDDLE  ALT=\"-1+%2A+2%2A2%2A3%2Ax%2Ax%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then the second term:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A2%2A3%2A3%2Ax%2Ax ALIGN=MIDDLE  ALT=\"2%2A2%2A3%2A3%2Ax%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now, the two terms have the following factors in common: 2, 2, 3, x, x, so the quantity that you can factor out of both terms is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E2 ALIGN=MIDDLE  ALT=\"12x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "This leaves you with:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E2%28-x%2B3%29 ALIGN=MIDDLE  ALT=\"12x%5E2%28-x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is really good enough.  However, I would also factor out th -1 by changing the signs on the two terms that remain in parentheses, thus:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12x%5E2%28x-3%29 ALIGN=MIDDLE  ALT=\"-12x%5E2%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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