document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=406195>Question 406195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the factors of the polynomial:<BR>\n" );
document.write( "f(x)= x^3-10x^2+29x-20 ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286708 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=286708\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What are the factors of the polynomial:<BR>\n" );
document.write( "f(x)= x^3-10x^2+29x-20 <BR>\n" );
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document.write( "The coefficients add up to zero so x=1 is a root,<BR>\n" );
document.write( "so (x-1) is one of the factors.<BR>\n" );
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document.write( "Use synthetic division to get the quadratic factor:<BR>\n" );
document.write( "1)....1....-10....29....-20<BR>\n" );
document.write( ".......1.....-9....20...|..0\r<BR>\n" );
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document.write( "\n" );
document.write( "Quadratic factor: x^2-9x+20<BR>\n" );
document.write( "Solve x^2-9x+20 = 0<BR>\n" );
document.write( "(x-5)(x-4) = 0<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Therefore: f(x) = (x-1)(x-4)(x-5)<BR>\n" );
document.write( "=======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );