document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364574>Question 364574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me factor this polynomial\r<BR>\n" );
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document.write( "6x^8+17x^4+12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #259988 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=259988\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6x^8+17x^4+12<BR>\n" );
document.write( "If I<BR>\n" );
document.write( "Let y = x^4<BR>\n" );
document.write( "then<BR>\n" );
document.write( "y^2 = x^8<BR>\n" );
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document.write( "We can rewrite our original equation:<BR>\n" );
document.write( "6x^8+17x^4+12<BR>\n" );
document.write( "as<BR>\n" );
document.write( "6y^2+17y+12 (which is more familiar)<BR>\n" );
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document.write( "This can be factored as:<BR>\n" );
document.write( "6y^2+17y+12<BR>\n" );
document.write( "Rewrite the middle term:<BR>\n" );
document.write( "6y^2+8y+9y+12<BR>\n" );
document.write( "Group terms:<BR>\n" );
document.write( "(6y^2+8y)+(9y+12)<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "2y(3y+4) + 3(3y+4)<BR>\n" );
document.write( "(3y+4)(2y+3)<BR>\n" );
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document.write( "Put the above back into terms of x:<BR>\n" );
document.write( "since y = x^4 we have:<BR>\n" );
document.write( "(3x^4+4)(2x^4+3)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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