document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133832>Question 1133832</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve x^4-6x^2+24x-40=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751949 by </B><A HREF=/tutors/aboutme.mpl?userid=t0hierry><B>t0hierry(194)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=t0hierry><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=t0hierry><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751949\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve x^4-6x^2+24x-40=0<BR>\n" );
document.write( "x = 2<BR>\n" );
document.write( "is a solution found by trial and error.<BR>\n" );
document.write( "Then we write<BR>\n" );
document.write( "(x-2)(x^3 + ax^2 + bx + c) = x^4 + ax^3 -2x^3 + bx^2 - 2a x^2 + cx-2 bx - 2c = <BR>\n" );
document.write( "x^4 + (a-2)x^3 + (b-2a)x^2 + (c - 2b)x - 2c<BR>\n" );
document.write( "a-2 = 0<BR>\n" );
document.write( "b-2a = -6<BR>\n" );
document.write( "c = 20<BR>\n" );
document.write( "a = 2<BR>\n" );
document.write( "b = -2<BR>\n" );
document.write( "check: c -2b = 20 + 4 = 24<BR>\n" );
document.write( "so:P(x) = (x-2)(x^3 -2 x^2 -2x -20)\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );