document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181788>Question 181788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the greatest common factor<BR>\n" );
document.write( "X &#61450;y&#61450;, x&#8308; y³, x&#8308; y&#8308;, -x y<BR>\n" );
document.write( "The above should read x5y5\r<BR>\n" );
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document.write( "Factor<BR>\n" );
document.write( "60m&#8313; + 72m&#8311; -24m³\r<BR>\n" );
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document.write( "u² -2uv – 63v²\r<BR>\n" );
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document.write( "Factor by group<BR>\n" );
document.write( "2x³ -4x² -3x +6\r<BR>\n" );
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document.write( "Factor completely<BR>\n" );
document.write( "4x² -28x +40\r<BR>\n" );
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document.write( "y² +.02y - .015   Is the polynomial prime?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136387 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=136387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the greatest common factor<BR>\n" );
document.write( "X &#61450;y&#61450;, x&#8308; y³, x&#8308; y&#8308;, -x y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5y%5E5%2C+x%5E4y%5E3%2C+x%5E4y%5E4%2C+-xy ALIGN=MIDDLE  ALT=\"x%5E5y%5E5%2C+x%5E4y%5E3%2C+x%5E4y%5E4%2C+-xy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It's xy, due to the last term.<BR>\n" );
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document.write( "Factor<BR>\n" );
document.write( "60m&#8313; + 72m&#8311; -24m³<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60m%5E9+%2B+72m%5E7+-+24m%5E3 ALIGN=MIDDLE  ALT=\"60m%5E9+%2B+72m%5E7+-+24m%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12m%5E3%2A%285m%5E6+%2B+6m%5E4+-+2%29 ALIGN=MIDDLE  ALT=\"12m%5E3%2A%285m%5E6+%2B+6m%5E4+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "u² -2uv – 63v² <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E2+-+2uv+-+63v%5E2 ALIGN=MIDDLE  ALT=\"u%5E2+-+2uv+-+63v%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=(u - 9v*(u + 7v)<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Factor by group<BR>\n" );
document.write( "2x³ -4x² -3x +6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E3+-+4x%5E2+-+3x+%2B+6 ALIGN=MIDDLE  ALT=\"2x%5E3+-+4x%5E2+-+3x+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2A%282x%5E2+-+3%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2A%282x%5E2+-+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I don't know what \"grouping\" is.<BR>\n" );
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document.write( "Factor completely<BR>\n" );
document.write( "4x² -28x +40<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+-+28x+%2B+40 ALIGN=MIDDLE  ALT=\"4x%5E2+-+28x+%2B+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%5E2+-+7x+%2B+10%29 ALIGN=MIDDLE  ALT=\"4%28x%5E2+-+7x+%2B+10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "= 4(x-5)(x-2)<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "y² +.02y - .015 Is the polynomial prime?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+-+0.02y+-+0.015 ALIGN=MIDDLE  ALT=\"y%5E2+-+0.02y+-+0.015\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It cannot be factored using integers. Does that make it prime?<BR>\n" );
document.write( "If you multiply by 1000 to make all the coefficients integers, it's still not factorable using integers, but it can be factored using irrational numbers.<BR>\n" );
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document.write( "If we look at the one above, 4(x-5)*(x-2), and divide it by 8, we get:<BR>\n" );
document.write( "0.5x^2 -3.5x + 5.  Is that prime?  It's = (x-5)*(0.5x - 1). </SPAN>\n" );
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