document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=768968>Question 768968</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to completely factor the following polynomial<BR>\n" );
document.write( "8x^3+56x^2+8x+56<BR>\n" );
document.write( "I came up<BR>\n" );
document.write( " (x+4)(x^2+8)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #468599 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=468599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "One good way to determine if you did a problem correctly is to start with your answer and work backwards.\r<BR>\n" );
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document.write( "Using FOIL on <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE (x\ +\ 4)(x^2\ +\ 8)\">, you really only have to test the firsts and the lasts.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\ \cdot\ x^2\ =\ x^3\ \not=\ 8x^3\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 4\ \cdot\ 8\ =\ 32\ \not=\ 56\">.  Thank you for playing; Johnny has some lovely parting gifts on your way out...\r<BR>\n" );
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document.write( "Start again.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 8x^3\ +\ 56x^2\ +\ 8x\ +\ 56\">\r<BR>\n" );
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document.write( "All terms have a common factor of 8, so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 8(x^3\ +\ 7x^2\ +\ x\ +\ 7)\">\r<BR>\n" );
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document.write( "Regroup:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 8(x^3\ +\ x\ +\ 7x^2\ +\ 7)\">\r<BR>\n" );
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document.write( "Collect the two binomials that share common factors:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 8\left(\left(x^3\ +\ x\right)\ +\ \left(7x^2\ +\ 7\right)\right)\">\r<BR>\n" );
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document.write( "Factor <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> from the first binomial, and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 7\"> from the second:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 8\left(x\left(x^2\ +\ 1\right)\ +\ 7\left(x^2\ +\ 1\right)\right)\">\r<BR>\n" );
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document.write( "Now factor out <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^2\ +\ 1\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 8\left(x^2\ +\ 1\right)\left(x\ +\ 7\right)\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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