document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=770788>Question 770788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find a rational zero of the polynomial function and use it to find all the zeros of the function.<BR>\n" );
document.write( "f(x)=x^3+2x^2-5x-6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #469836 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=469836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find a rational zero of the polynomial function and use it to find all the zeros of the function.<BR>\n" );
document.write( "f(x)=x^3+2x^2-5x-6<BR>\n" );
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document.write( "Since f(-1) = 0, x = -1 is a root.<BR>\n" );
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document.write( "Use x = -1 to find other roots:<BR>\n" );
document.write( "-1)....1....2....-5....-6<BR>\n" );
document.write( ".......1....1....-6...|..0\r<BR>\n" );
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document.write( "Quotient: x^2 +x -6<BR>\n" );
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document.write( "Factor:<BR>\n" );
document.write( "(x+3)(x-2) = 0<BR>\n" );
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document.write( "x =-3 or x = 2<BR>\n" );
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document.write( "Rational roots: -1,-3,2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );