document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188383>Question 188383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all zeros of the polynomial equation<BR>\n" );
document.write( "x3-2x2+10x+136=0<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141236 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=141236\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all zeros of the polynomial equation<BR>\n" );
document.write( "x^3-2x^2+10x+136=0<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "I graphed it and found x=-4 is a zero.<BR>\n" );
document.write( "Use synthetic division to find the other zeroes.<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "-4)....1....-2....10....136<BR>\n" );
document.write( ".........1....-6....34...|..0\r<BR>\n" );
document.write( "\n" );
document.write( "Quotient: x^2 - 6x + 34<BR>\n" );
document.write( "Use the quadratic formula to find remaining zeroes.<BR>\n" );
document.write( "x = [6 +- sqrt(36 -4*1*34)]/2<BR>\n" );
document.write( "x = [6 +- sqrt(-100)]/2<BR>\n" );
document.write( "x = [6 +- 10i]/2<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Zeroes are x = -4, x = (3+5i), x = (3-5i)<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" );