document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177005>Question 177005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please solve(factor): x^3+9x^2+13x+5=0<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 #132050 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=132050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Typically I do a quick graph to see what's what.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-8%2C+2%2C+-2%2C+2%2C+x%5E3%2B9x%5E2%2B13x%2B5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-8%2C+2%2C+-2%2C+2%2C+x%5E3%2B9x%5E2%2B13x%2B5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looks like x=-1 is a root.<BR>\n" );
document.write( "Let's check,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B9x%5E2%2B13x%2B5=0 ALIGN=MIDDLE  ALT=\"x%5E3%2B9x%5E2%2B13x%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2B9-13%2B5=0 ALIGN=MIDDLE  ALT=\"-1%2B9-13%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Yes it is, (x+1) is a factor.<BR>\n" );
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document.write( "We can use polynomial long division to find the remaining quadratic function.<BR>\n" );
document.write( "Showing polynomial long division is a little difficult.<BR>\n" );
document.write( "The first part will show the factor (left hand column), then the factor times the divisor,<BR>\n" );
document.write( "then the next line will show the subtraction.<BR>\n" );
document.write( "Then repeat.<BR>\n" );
document.write( "Hopefully it makes sense.<BR>\n" );
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document.write( "...........___________________<BR>\n" );
document.write( "(x+1)|x^3+9x^2+13x+5 <BR>\n" );
document.write( "x^2:...x^3+x^2<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "..................8x^2+13x+5<BR>\n" );
document.write( "8x:............8x^2+8x<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "...............................5x+5<BR>\n" );
document.write( "5:...........................5x+5<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( ".....................................0<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3%2B9x%5E2%2B13x%2B5%29%2F%28x%2B1%29=x%5E2%2B8x%2B5 ALIGN=MIDDLE  ALT=\"%28x%5E3%2B9x%5E2%2B13x%2B5%29%2F%28x%2B1%29=x%5E2%2B8x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's use the quadratic formula to find the remaining roots.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8+%2B-+sqrt%28+%28-8%29%5E2-4%2A1%2A5+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+sqrt%28+%28-8%29%5E2-4%2A1%2A5+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8+%2B-+sqrt%28+44%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+sqrt%28+44%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8+%2B-+2%2Asqrt%28+11%29%29%2F%282%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+2%2Asqrt%28+11%29%29%2F%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-4+%2B-+sqrt%28+11%29+ ALIGN=MIDDLE  ALT=\"x+=+-4+%2B-+sqrt%28+11%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now put it all together,<BR>\n" );
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