document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=681613>Question 681613</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor 7x^2-14x-56\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "factor 9x^2-336x+27 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422708 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=422708\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor 7x^2-14x-56\r<BR>\n" );
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document.write( "First factor out the greatest common factor.  In this case all three terms are divisible by 7.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%28x%5E2-2x-8%29 ALIGN=MIDDLE  ALT=\"7%28x%5E2-2x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we know that we have:<BR>\n" );
document.write( "7(x+___)(x-___) Because the last term is negative.<BR>\n" );
document.write( "We need to find to numbers that multiply to give -8 (the last term) but add to get -2 (the middle term)<BR>\n" );
document.write( "-4*2 = -8 and -4+2=-2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%287%28x%2B2%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"highlight%287%28x%2B2%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<br> I think the next one might be a type-0, so I will do it as you wrote it, then do it based on my experience of what the type-o might be. <br><BR>\n" );
document.write( "factor 9x^2-336x+27<BR>\n" );
document.write( "The all numbers are divisible by 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283%283x%5E2-112x%2B3%29%29 ALIGN=MIDDLE  ALT=\"highlight%283%283x%5E2-112x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That's all you can do.\r<BR>\n" );
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document.write( "<br> I think you meant:<BR>\n" );
document.write( "factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2-36x%2B27 ALIGN=MIDDLE  ALT=\"9x%5E2-36x%2B27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Everything is divisible by 9<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%28x%5E2-4x%2B3%29 ALIGN=MIDDLE  ALT=\"9%28x%5E2-4x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-3*-1=3 and -3+-1=-4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%289%28x-3%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"highlight%289%28x-3%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope that helped.  Happy Calculating. </SPAN>\n" );
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