document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=557276>Question 557276</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the roots of the polynomial equation:x^3-2x^2+10x+136=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 #362522 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=362522\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the roots of the polynomial equation:x^3-2x^2+10x+136=0<BR>\n" );
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document.write( "I graph the cubic and found a zero at x = -4<BR>\n" );
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document.write( "Using synthetic division, find the other zeros:<BR>\n" );
document.write( "-4)....1....-2....10....136<BR>\n" );
document.write( "........1....-6....34...|..0<BR>\n" );
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document.write( "Quotient: x^2-6x+34<BR>\n" );
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document.write( "Find the zeros of the quotient:<BR>\n" );
document.write( "x = [6 +- sqrt(6^2-4*34)]/2<BR>\n" );
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document.write( "x = [6 +- sqrt(36-136)]/2<BR>\n" );
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document.write( "x = [6 +- sqrt(-100)]/2<BR>\n" );
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document.write( "x = [2 +- 5i]<BR>\n" );
document.write( "x = 2+5i or x = 2 - 5i or -4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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