document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1013900>Question 1013900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of a for which the polynomial x^3 &#8722; ax + 8 has the root x = &#8722;2. and find the other roots of the polynomial. (hint: the others are not rational)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630201 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=630201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm thinking that if -2 is a root, then<BR>\n" );
document.write( "(-2)^3 - ax + 8 = 0<BR>\n" );
document.write( "a = 0<BR>\n" );
document.write( "Therefore we can divide x^3 + 8 by x + 2 and get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3+%2B+8%29%2F%28x+%2B+2%29+=+x%5E2+-+2x+%2B+4 ALIGN=MIDDLE  ALT=\"%28x%5E3+%2B+8%29%2F%28x+%2B+2%29+=+x%5E2+-+2x+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And you can use the quadratic formula to solve<BR>\n" );
document.write( "x^2 - 2x + 4 = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );