document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=465062>Question 465062</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the equation x^3+2x^2+x+2=0, if -2 is a root.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #318616 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=318616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the equation x^3+2x^2+x+2=0, if -2 is a root. <BR>\n" );
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document.write( "Use synthetic division:<BR>\n" );
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document.write( "-2)....1...2....1....2<BR>\n" );
document.write( "........1...0....1...|..0<BR>\n" );
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document.write( "Quotient: x^2+1<BR>\n" );
document.write( "Remainder: 0<BR>\n" );
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document.write( "Factor the quotient expression:<BR>\n" );
document.write( "x^2+1 = 0<BR>\n" );
document.write( "(x+i)(x-i) = 0<BR>\n" );
document.write( "x = i or x = -i or x = -2<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============================ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );