document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449967>Question 449967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the polynomial:\r<BR>\n" );
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document.write( "1. x^2 - 49.\r<BR>\n" );
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document.write( "2. 2a^4 - 21a^3 + 49a^2\r<BR>\n" );
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document.write( "3. y^3 + 2y^2 - 81y - 162 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309616 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=309616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. x^2 - 49<BR>\n" );
document.write( "This is the difference of two squares: x^2-49 = (x+7)(x-7)<BR>\n" );
document.write( "2. 2a^4 - 21a^3 + 49a^2<BR>\n" );
document.write( "This has a factor of a^2: 2a^4 - 21a^3 + 49a^2 = a^2(2a^2 - 21a + 49)<BR>\n" );
document.write( "The expression inside the parentheses can be further factored as:<BR>\n" );
document.write( "2a^2 - 21a + 49 = (2a-7)(a-7)<BR>\n" );
document.write( "So the factorization is 2a^4 - 21a^3 + 49a^2 = a^2(2a-7)(a-7)<BR>\n" );
document.write( "3. y^3 + 2y^2 - 81y - 162<BR>\n" );
document.write( "By long division, you can confirm that y+2 is one of the factors, with a remainder y^2-81<BR>\n" );
document.write( "This can be further factored: y^2-81 = (y+9)(y-9)<BR>\n" );
document.write( "So the factorization is y^3 + 2y^2 - 81y - 162 = (y+2)(y+9)(y-9)<BR>\n" );
document.write( " </SPAN>\n" );
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