document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271219>Question 271219</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is x^2+x-6? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198602 by </B><A HREF=/tutors/aboutme.mpl?userid=PRMath><B>PRMath(133)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=PRMath><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=198602\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Do you want to factor this problem?  \r<BR>\n" );
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document.write( "If so... you have to think in terms of FOIL which stands for\r<BR>\n" );
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document.write( "First<BR>\n" );
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document.write( "So you have:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+x+-+6 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Your first term is easy, because you need to come up with something that when multiplied, will result in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   Soooo you can think of x times x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So now you have: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+________%29%28x+______%29 ALIGN=MIDDLE  ALT=\"%28x+________%29%28x+______%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "What do you fill in for the blanks?  Well, from your original equation you have to think of numbers that will MULTIPLY to be -6, yet ADD to be +1.   The -6 is the LAST term in the equation and the +1 refers to the middle term (1x) in the original equation.\r<BR>\n" );
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document.write( "A pretty typical way to reach 6 is to multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%2A+3 ALIGN=MIDDLE  ALT=\"2+%2A+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > but you want a -6, right?   WELL, if you multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%2A+-3 ALIGN=MIDDLE  ALT=\"2+%2A+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > you will get -6 but will you get 1x if you add those terms?  No... you will get -1.\r<BR>\n" );
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document.write( "SO how about:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+%2A+3 ALIGN=MIDDLE  ALT=\"-2+%2A+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >   AH!  In that case you will get -6 by multiplying those terms and you will get +1 if you add them.   So let's put that info in for factoring:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+2%29%28x+%2B+3%29 ALIGN=MIDDLE  ALT=\"%28x+-+2%29%28x+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now let's use FOIL and see if this factors correctly:\r<BR>\n" );
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document.write( "First:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2A+x+=+x%5E2 ALIGN=MIDDLE  ALT=\"x+%2A+x+=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Ok, that works.<BR>\n" );
document.write( "Outside:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2A+3+=+3x ALIGN=MIDDLE  ALT=\"x+%2A+3+=+3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Inside:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2A+-2+=+-2x%29%29%29%0D%0ALast%3A++%7B%7B%7B-2+%2A+3+=+-6 ALIGN=MIDDLE  ALT=\"x+%2A+-2+=+-2x%29%29%29%0D%0ALast%3A++%7B%7B%7B-2+%2A+3+=+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we have:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+3x+-2x+-6 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+3x+-2x+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Let's combine like terms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+1x+-6 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+1x+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or.... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+x+-+6 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+x+-+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So now you can see you have correctly factored the equation.  \r<BR>\n" );
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document.write( "If that is not what you wanted to do with the equation, resubmit your question. \r<BR>\n" );
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document.write( "Hope this helps. :-) </SPAN>\n" );
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