document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187568>Question 187568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to factor this problem completely, not quite sure how to though.<BR>\n" );
document.write( "16x^4–40x^2+9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140598 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=140598\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to factor this problem completely, not quite sure how to though.<BR>\n" );
document.write( "16x^4–40x^2+9<BR>\n" );
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document.write( "It'll be<BR>\n" );
document.write( "(ax^2 + b)*(cx^2 + d) a, b, c & d are integers.<BR>\n" );
document.write( "a*c = 16<BR>\n" );
document.write( "b*d = 9<BR>\n" );
document.write( "ad + bc = -40<BR>\n" );
document.write( "a & c will be 1, 2, or 4<BR>\n" );
document.write( "b & d will be 1 or 3<BR>\n" );
document.write( "Since -40 is not divisible by 3, b & d are 1 and 9.<BR>\n" );
document.write( "(4x^2 - 1)*(4x^2 - 9)<BR>\n" );
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document.write( "It's just a matter of \"doodling\" until you find it. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );