document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132054>Question 1132054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that (x-2) is a factor of f(x) = x³-2x²-4x+8.<BR>\n" );
document.write( "Hence factorise f(x) completely.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #748918 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=748918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can use synthetic division with 2<BR>\n" );
document.write( "2/1--- -2---- -4-----8<BR>\n" );
document.write( "   1       0        -4         0<BR>\n" );
document.write( "that is x^2-4<BR>\n" );
document.write( "so the factors are (x-2)(x^2-4) or (x-2)(x-2)(x+2), or (x-2)^2*(x+2)\r<BR>\n" );
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