document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215465>Question 215465</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor: 3x squared-19X-40 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162807 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-19x-40 ALIGN=MIDDLE  ALT=\"3x%5E2-19x-40\"   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=3x%5E2-19x-40 ALIGN=MIDDLE  ALT=\"3x%5E2-19x-40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 1.  Need to find two integers m and n where the product is mn=3*(-40)=-120 and their sum m+n=-19.\r<BR>\n" );
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document.write( "Step 2.  After several tries, the numbers are -24 and 5.  \r<BR>\n" );
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document.write( "Step 3.  Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-19x=-24x%2B5x ALIGN=MIDDLE  ALT=\"-19x=-24x%2B5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-19x-40 ALIGN=MIDDLE  ALT=\"3x%5E2-19x-40\"   DISABLED_style= \"max-width:90%; height:auto;\" > and group terms as follows:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E2-24x%29%2B%285x-40%29 ALIGN=MIDDLE  ALT=\"%283x%5E2-24x%29%2B%285x-40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4.  Factor the first and second group with parenthesis.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E2-24x%29%2B%285x-40%29=3x%28x-8%29%2B5%28x-8%29 ALIGN=MIDDLE  ALT=\"%283x%5E2-24x%29%2B%285x-40%29=3x%28x-8%29%2B5%28x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 5.  Now factor out x-8 in both groups since it's a common factor.\r<BR>\n" );
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document.write( "Step 6.  ANSWER:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-19x-40=%28x-8%29%283x%2B5%29 ALIGN=MIDDLE  ALT=\"3x%5E2-19x-40=%28x-8%29%283x%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J </SPAN>\n" );
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