document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411181>Question 411181</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor x^2-200x-1800 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289087 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=289087\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It's fairly tedious listing all positive/negative factors of -1800 so I'll solve using the quadratic formula. The roots of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+200x+-+1800 ALIGN=MIDDLE  ALT=\"x%5E2+-+200x+-+1800\"   DISABLED_style= \"max-width:90%; height:auto;\" > are\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28200+%2B-+sqrt%2840000+-+4%28-1800%29%29%29%2F2+=+%28200+%2B-+sqrt%2847200%29%29%2F2+=+100+%2B-+10sqrt%28118%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >. Therefore the polynomial can be factored as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+%28100%2B10sqrt%28118%29%29%29%28x+-+%28100-10sqrt%28118%29%29%29 ALIGN=MIDDLE  ALT=\"%28x+-+%28100%2B10sqrt%28118%29%29%29%28x+-+%28100-10sqrt%28118%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. However, it's still a pretty ugly expression, and the polynomial cannot be factored over the integers. </SPAN>\n" );
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