document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=7044>Question 7044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all the roots of each equation.<BR>\n" );
document.write( "x^4+4x^3+6x^2+8x+8=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3875 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=3875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you need to factorise this: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%2B4x%5E3%2B6x%5E2%2B8x%2B8=0 ALIGN=MIDDLE  ALT=\"x%5E4%2B4x%5E3%2B6x%5E2%2B8x%2B8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Seeing as how they have asked you, and you know next to nothing about solving <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4 ALIGN=MIDDLE  ALT=\"x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > polynomials, there has to be a \"nice\" solution for you. So, lets just re-order the polynomial slightly to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%2B6x%5E2%2B8+%2B4x%5E3%2B8x=0 ALIGN=MIDDLE  ALT=\"x%5E4%2B6x%5E2%2B8+%2B4x%5E3%2B8x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Lets treat the first 3 terms as a quadratic and the last 2 terms we will just factorise normally: So\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B2%29%28x%5E2%2B4%29+%2B+4x%28x%5E2%2B2%29+=+0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B2%29%28x%5E2%2B4%29+%2B+4x%28x%5E2%2B2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Both of these terms have a common term, namely <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so we can factorise again to give:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B2%29%28x%5E2+%2B+4+%2B+4x%29+=+0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B2%29%28x%5E2+%2B+4+%2B+4x%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the second bracket can be factorised to give\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B2%29%28x%2B2%29%28x%2B2%29+=+0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B2%29%28x%2B2%29%28x%2B2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2+=+0 ALIGN=MIDDLE  ALT=\"x%5E2%2B2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or x+2 = 0<BR>\n" );
document.write( "so either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+-2 ALIGN=MIDDLE  ALT=\"x%5E2+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or x = -2<BR>\n" );
document.write( "so either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2B+sqrt%28-2%29 ALIGN=MIDDLE  ALT=\"x+=+%2B+sqrt%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-+sqrt%28-2%29 ALIGN=MIDDLE  ALT=\"x+=+-+sqrt%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or x = -2\r<BR>\n" );
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document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2B+sqrt%282%29i ALIGN=MIDDLE  ALT=\"x+=+%2B+sqrt%282%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-+sqrt%282%29i ALIGN=MIDDLE  ALT=\"x+=+-+sqrt%282%29i\"   DISABLED_style= \"max-width:90%; height:auto;\" > or x = -2\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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