document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=47489>Question 47489</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to<BR>\n" );
document.write( "f(x)-f(1)=0, besides x=1. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31354 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=31354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f(x)=x^3-8x^2+17x-9. Use the factor theorem to find other solutions to<BR>\n" );
document.write( "f(x)-f(1)=0, besides x=1.\r<BR>\n" );
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document.write( "f(1)=1-8+17-9=1\r<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "f(x)-1=0<BR>\n" );
document.write( "x^3-8x^2+17x-9-1=0<BR>\n" );
document.write( "x^3-8x^2+17x-10=0<BR>\n" );
document.write( "Using synthetic division find zeroes at x=1, or 2, or 5.<BR>\n" );
document.write( "Therefore the factors are:<BR>\n" );
document.write( "(x-1)(x-2)(x-5)=0\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );