document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=325012>Question 325012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to factor x^4-3x^3+8x^2-18x+12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #232731 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=232731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> factor x^4-3x^3+8x^2-18x+12<BR>\n" );
document.write( "----<BR>\n" );
document.write( "The coefficenents add up to zero, so x=1 is a root.<BR>\n" );
document.write( "Therefore x-1 is one of the factors.<BR>\n" );
document.write( "=======================================<BR>\n" );
document.write( "Use synthetic division to find other Real roots:<BR>\n" );
document.write( "1)....1....-3....8....-18....12<BR>\n" );
document.write( ".......1.....-2...6.....-12...|..0<BR>\n" );
document.write( "----\r<BR>\n" );
document.write( "\n" );
document.write( "Quotient x^3 -2x^2 + 6x -12\r<BR>\n" );
document.write( "\n" );
document.write( "---<BR>\n" );
document.write( "I graphed it and found a Real zero at x = 2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2).........1.....-2...6.....-12<BR>\n" );
document.write( ".............1.....0...6....|..0\r<BR>\n" );
document.write( "\n" );
document.write( "Quotient: x^2 + 6<BR>\n" );
document.write( "Factors (x+isqrt(6))(x-isqrt(6)(x-2)(x-1)<BR>\n" );
document.write( "=============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );