document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119660>Question 1119660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a) Find x:<BR>\n" );
document.write( "x^5+ x^4+ x^3+ x^2+1=0<BR>\n" );
document.write( "I have factored it : (x^2+ x+1)(x+1)(x^2-x+1)<BR>\n" );
document.write( "b)Factoring:<BR>\n" );
document.write( "2x^2y^2+2y^2z^2+2x^2z^2-x^4-y^4-z^4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735267 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=735267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) Find x:<BR>\n" );
document.write( "x^5+ x^4+ x^3+ x^2+1=0<BR>\n" );
document.write( "I have factored it : (x^2+ x+1)(x+1)(x^2-x+1)<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Then (x^2+ x+1)(x+1)(x^2-x+1) = 0<BR>\n" );
document.write( "--> x = -1 is the most obvious solution<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "But<BR>\n" );
document.write( "f(x) = x^5+ x^4+ x^3+ x^2+1<BR>\n" );
document.write( "f(-1) = -1 + 1 - 1 + 1 + 1 = 1, not zero, so (x+1) is not a factor.<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "b)Factoring:<BR>\n" );
document.write( "2x^2y^2+2y^2z^2+2x^2z^2-x^4-y^4-z^4 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );