document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=21454>Question 21454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am working on Factoring Polynomial completely - I think I figured this one out, but would appreciate someone looking over to let me know if I did this correctly.\r<BR>\n" );
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document.write( "4m (exponent of 2) - 9m - 9\r<BR>\n" );
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document.write( "my solution:   2(2m*(3) 2(2m*(3)   Is this correct?   Thank you very much for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10335 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=10335\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ummm...let's see, if we multiply your factors together, we should get the original expression, right?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%282m%2A%283%29%29%282%282m%2A%283%29%29%29%29+=+%282%286m%29%29%282%286m%29%29 ALIGN=MIDDLE  ALT=\"%282%282m%2A%283%29%29%282%282m%2A%283%29%29%29%29+=+%282%286m%29%29%282%286m%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2812m%29%2812m%29+=+144m%5E2 ALIGN=MIDDLE  ALT=\"%2812m%29%2812m%29+=+144m%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We didn't get the original expression, so your factors don't work!\r<BR>\n" );
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document.write( "Here's how it should go.<BR>\n" );
document.write( "Factor:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4m%5E2+-+9m+-+9 ALIGN=MIDDLE  ALT=\"4m%5E2+-+9m+-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Your factors will have the form of: (am + 3)(bm - 3), why? because:\r<BR>\n" );
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document.write( "(-3)(3) = -9 This will get the constant term in the equation.<BR>\n" );
document.write( "Now you need (a)(b) to = 4 and you need (a)(-3)+(b)(3) = -9, the x-coefficient.<BR>\n" );
document.write( "Try:<BR>\n" );
document.write( "a = 4 and b = 1:  (4)(1) = 4 and (4)(-3)+(1)(3) = -12+3 = -9 So this works.\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=4m%5E2+-+9m+-+9+=+%284m+%2B+3%29%28m+-+3%29 ALIGN=MIDDLE  ALT=\"4m%5E2+-+9m+-+9+=+%284m+%2B+3%29%28m+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "Multiply the factors using FOIL.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284m+%2B+3%29%28m+-+3%29+=+4m%5E2+-+12m+%2B+3m+-+9 ALIGN=MIDDLE  ALT=\"%284m+%2B+3%29%28m+-+3%29+=+4m%5E2+-+12m+%2B+3m+-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4m%5E2+-+9m+-+9 ALIGN=MIDDLE  ALT=\"4m%5E2+-+9m+-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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