document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154469>Question 154469</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is is from a quiz on factoring the polynominal completely, given that (x-1) is a factor. (Hint: Use long division to divide out the x-1)<BR>\n" );
document.write( "x^3-6x^2+11x-6<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #113740 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=113740\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  This is is from a quiz on factoring the polynominal completely, given that (x-1) is a factor.<BR>\n" );
document.write( "x^3-6x^2+11x-6<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "After dividing by (x-1), we have<BR>\n" );
document.write( "x^2 -5x +6<BR>\n" );
document.write( "Assuming the coefficients are integers (they almost always are in school), the possibilities for the multiplier for the x terms are 1.  The Numeric Terms can be 1 & 6 or 2 & 3.  Since the 6 is positive, the 2 NT's have the same sign. Since the x term is -5, they NTs must be negative.  That makes it<BR>\n" );
document.write( "(x-2)*(x-3)<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );