document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147547>Question 147547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x) = -x^3 + 3x^2 - 3x + 1, and g(x) be f(x) divided by 1 - x; solve for g(x) if 1 - x is a factor of f(x).<BR>\n" );
document.write( "a. g(x) = x^4 - 4x^3 + 6x^2 - 4x + 1<BR>\n" );
document.write( "b. g(x) = x^3 - 3x^2 + 3x - 1<BR>\n" );
document.write( "c. g(x) = -x^2 + 2x - 1<BR>\n" );
document.write( "d. g(x) = x^2 - 2x + 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108176 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><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=108176\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We shall want<BR>\n" );
document.write( "g(x)=(-x^3 + 3x^2 - 3x + 1)/(-x+1)\r<BR>\n" );
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document.write( "You can solve this a few different ways. I will use long division.<BR>\n" );
document.write( "......x^2-2x+1<BR>\n" );
document.write( "_______________________<BR>\n" );
document.write( "-x+1)-x^3 + 3x^2 - 3x + 1<BR>\n" );
document.write( "...-(-x^3+x^2)<BR>\n" );
document.write( "________________<BR>\n" );
document.write( "........2x^2-3x<BR>\n" );
document.write( "......-(2x^2-2x)<BR>\n" );
document.write( "__________________<BR>\n" );
document.write( "..........-x+1<BR>\n" );
document.write( "........-(-x+1)<BR>\n" );
document.write( "_________________<BR>\n" );
document.write( ".............0\r<BR>\n" );
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document.write( "So g(x)=x^2-2x+1 </SPAN>\n" );
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