document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1120666>Question 1120666</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factoring :<BR>\n" );
document.write( "a)x^4+(x-4)^4-82<BR>\n" );
document.write( "b)(x^2-a)^2-6x^2+4x+2a<BR>\n" );
document.write( "Help me ! Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736333 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=736333\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One approach is to set the first to equal 0<BR>\n" );
document.write( "x^4+(x-4)^4-82=0<BR>\n" );
document.write( "x=3 can be see to be a solution<BR>\n" );
document.write( "x=1 can also be seen to be a solution<BR>\n" );
document.write( "This product of factors (x-3) and (x-1), or x^2-4x+3, can be divided into the expanded polynomial 2x^4-16x^3+96x^2-256x+174<BR>\n" );
document.write( "or its equivalent of x^4-8x^3+48x^2-128x+87<BR>\n" );
document.write( "to yield the quadratic x^2-4x+29, which is prime and the third factor of the original polyomial.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-100%2C100%2Cx%5E4%2B%28x-4%29%5E4-82%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-100%2C100%2Cx%5E4%2B%28x-4%29%5E4-82%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );