document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=21084>Question 21084</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Im not to sure about factoring, so could you help me out with these 2 problems?\r<BR>\n" );
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document.write( "FACTOR THE POLYNOMIAL COMPLETELY.  IF THE POLONOMIAL CANNOT BE FACTORED, WRITE PRIME\r<BR>\n" );
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document.write( "x^2+2x-24\r<BR>\n" );
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document.write( "2x^2-6xy-8y2\r<BR>\n" );
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document.write( "                    Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10136 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=10136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2x+-+24 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2x+-+24\"   DISABLED_style= \"max-width:90%; height:auto;\" > You are looking for two factors that look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+m%29%28x+-+n%29 ALIGN=MIDDLE  ALT=\"%28x+%2B+m%29%28x+-+n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and when you multiply these two factors you will get the original expression back.<BR>\n" );
document.write( "Now, what numbers goes in place of the m & n?<BR>\n" );
document.write( "You want two integers whose product is -24 and whose sum is 2.<BR>\n" );
document.write( "Here are some suggestions:<BR>\n" );
document.write( "Try:<BR>\n" );
document.write( "12 X (-2) = -24 ok<BR>\n" );
document.write( "12 + (-2) = 10  No good!\r<BR>\n" );
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document.write( "Try: <BR>\n" );
document.write( "8 X (-3) = -24 ok<BR>\n" );
document.write( "8 + (-3) = 5  No good!\r<BR>\n" );
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document.write( "Try:<BR>\n" );
document.write( "6 X (-4) = -24 ok<BR>\n" );
document.write( "6 + (-4) = 2 ok\r<BR>\n" );
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document.write( "The factors are: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+6%29%28x+-+4%29 ALIGN=MIDDLE  ALT=\"%28x+%2B+6%29%28x+-+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+6%29%28x+-+4%29+=+x%5E2+-4x+%2B+6x+-+24 ALIGN=MIDDLE  ALT=\"%28x+%2B+6%29%28x+-+4%29+=+x%5E2+-4x+%2B+6x+-+24\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2x+-+24 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2x+-+24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The second problem is a little more difficult.\r<BR>\n" );
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document.write( "Factor: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+-+6xy+-+8y%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2+-+6xy+-+8y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > First factor a 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2+-+3xy+-+4y%5E2%29 ALIGN=MIDDLE  ALT=\"2%28x%5E2+-+3xy+-+4y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you want to find two factors that look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+my%29%28x+-+ny%29 ALIGN=MIDDLE  ALT=\"%28x+%2B+my%29%28x+-+ny%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  What goes in place of the m & n? You want two integers whose product is -4 and whose sum is -3\r<BR>\n" );
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document.write( "Try: <BR>\n" );
document.write( "1 X (-4) = -4 Ok<BR>\n" );
document.write( "1 + (-4) = -3 Ok\r<BR>\n" );
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document.write( "The complete factorisation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x+%2B+y%29%28x+-+4y%29 ALIGN=MIDDLE  ALT=\"2%28x+%2B+y%29%28x+-+4y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x+%2B+y%29%28x+-+4y%29+=+2%28x%5E2+-+4xy+%2B+xy+-+4y%5E2%29 ALIGN=MIDDLE  ALT=\"2%28x+%2B+y%29%28x+-+4y%29+=+2%28x%5E2+-+4xy+%2B+xy+-+4y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%5E2+-+3xy+-+4y%5E2%29+=+2x%5E2+-+6xy+-+8y%5E2 ALIGN=MIDDLE  ALT=\"2%28x%5E2+-+3xy+-+4y%5E2%29+=+2x%5E2+-+6xy+-+8y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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