document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253198>Question 253198</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 20x6-7x5-6x4-500x4+175x3+150x2   Factoring this equation? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #185429 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=185429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 20x^6-7x^5-6x^4-500x^4+175x^3+150x^2  <BR>\n" );
document.write( "First take out x^2<BR>\n" );
document.write( "x^2*(20x^4-7x^3-6x^2-500x^2+175x+150)<BR>\n" );
document.write( "This conveniently arranged into two parts- notice the x^2 twice -6x^2-500x^2<BR>\n" );
document.write( "20x^4-7x^3-6x^2=x^2(4x-3)(5x+2)<BR>\n" );
document.write( "-500x^2+175x+150=-25(4x-3)(5x+2)<BR>\n" );
document.write( "so now we have <BR>\n" );
document.write( "x^2*(4x-3)(5x+2)(x^2-25)<BR>\n" );
document.write( "and finally<BR>\n" );
document.write( "x^2*(x-5)*(x+5)*(4x-3)*(5x+2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );