document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=898498>Question 898498</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all solutions, real and complex, of the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)\r<BR>\n" );
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document.write( "x^3 + 4x^2 + 16x + 64 = 0<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #544879 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=544879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Try testing the roots, plus-or-minus 2, 4, 8, using synthetic division.  You should find -4 is a root, so your polynomial is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%28x%5E2%2B16%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%28x%5E2%2B16%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The quadratic factor will have complex roots with an imaginary number.   They are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-4i ALIGN=MIDDLE  ALT=\"x=-4i\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4i ALIGN=MIDDLE  ALT=\"x=4i\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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