document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63148>Question 63148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> LET f(x)=x3-8x2+17x-9.  USE THE FACTOR THEOREM TO FIND OTHER SOLUTIONS TO 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 #44008 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=44008\">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.<BR>\n" );
document.write( "----------\r<BR>\n" );
document.write( "\n" );
document.write( "f(1)=1-8+17-9=1<BR>\n" );
document.write( "f(x)-1=x^3-8x^2+17x-10<BR>\n" );
document.write( "Find the zeroes of this:<BR>\n" );
document.write( "Using synthetic division find the zeroes:<BR>\n" );
document.write( "1).....1....-8....17....-10<BR>\n" );
document.write( ".......1....-7....10..|.0<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Then:<BR>\n" );
document.write( "2).....1....-7....10<BR>\n" );
document.write( ".......1....-5..|.0<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "And finally:<BR>\n" );
document.write( "5).....1....-5<BR>\n" );
document.write( ".......1...|.0<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "The zeroes are 1,2,5<BR>\n" );
document.write( "The factors are (x-1),(x-2), and (x-5)\r<BR>\n" );
document.write( "\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );