document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=25902>Question 25902</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^4 - 10x^2 + 9 / x^3 + 4x^2 + 3x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13919 by </B><A HREF=/tutors/aboutme.mpl?userid=Linz><B>Linz(9)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Linz><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=13919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For x^4-10x^2+9 we need to factor it to (x^2-9)(x^2-1)<BR>\n" );
document.write( "Then factor x^3+4x^2+3x <BR>\n" );
document.write( "Since there is an x in each term we can factor it out<BR>\n" );
document.write( "x(x^2+4x+3)<BR>\n" );
document.write( "We need to factor both top and bottom more.<BR>\n" );
document.write( "(x^2-9)(x^2-1)= (x+3)(x-3)and(x+1)(x-1)<BR>\n" );
document.write( "x(x^2+4x+3)= x(x+3)(x+1)<BR>\n" );
document.write( "then you can cancel out terms that are the same in top and bottom.<BR>\n" );
document.write( "We cancel out (x+3) and (x+1) in the top and bottom to get an answer of:<BR>\n" );
document.write( "(x-3)(x-1)/x\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );