document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67078>Question 67078</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you factor this\r<BR>\n" );
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document.write( "2x^2-x-10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47695 by </B><A HREF=/tutors/aboutme.mpl?userid=Zoop><B>Zoop(21)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Zoop><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=47695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When factoring a trinomial, simply find two factors of the third term that add to get the second term's coefficient.\r<BR>\n" );
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document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-x-10 ALIGN=MIDDLE  ALT=\"2x%5E2-x-10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, these would be the factors of the third term:\r<BR>\n" );
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document.write( "-5 * 2<BR>\n" );
document.write( "-2 * 5\r<BR>\n" );
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document.write( "Obviously, nothing is working, which is an unfortunate side effect of this technique. \r<BR>\n" );
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document.write( "So we'll use the British method. The British method requires you to multiply the third time by the coefficient of the first term, which in this case is -10 * 2, -20.\r<BR>\n" );
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document.write( "Then, do the same thing you did with the first technique (finding to factors to add to the second term) with this new number, -20. \r<BR>\n" );
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document.write( "-5 * 4<BR>\n" );
document.write( "-4 * 5\r<BR>\n" );
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document.write( "Wouldya look at that! -5 and 4 add to get -1, which is the coefficient of -x. \r<BR>\n" );
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document.write( "So now we take -5 and 4 and put both of them over the first term, this time, just without the power.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F2x ALIGN=MIDDLE  ALT=\"-5%2F2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F2x ALIGN=MIDDLE  ALT=\"4%2F2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F2x ALIGN=MIDDLE  ALT=\"-5%2F2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fx ALIGN=MIDDLE  ALT=\"2%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, just use these and factor.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F2x ALIGN=MIDDLE  ALT=\"-5%2F2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%2B2x%29 ALIGN=MIDDLE  ALT=\"%28-5%2B2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-5%29 ALIGN=MIDDLE  ALT=\"%282x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Fx%29 ALIGN=MIDDLE  ALT=\"%282%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Bx%29 ALIGN=MIDDLE  ALT=\"%282%2Bx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Final?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-5%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%282x-5%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And you're done.\r<BR>\n" );
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document.write( "See if that works out for you. =)<BR>\n" );
document.write( "-Zoop </SPAN>\n" );
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