document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=452467>Question 452467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the polynomial below, -2  is a zero. \r<BR>\n" );
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document.write( "g(x)=x^3 -2x^2 -11x -6\r<BR>\n" );
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document.write( "Express  g(x) as a product of linear factors. \r<BR>\n" );
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document.write( "g(x)=  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311024 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=311024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  For the polynomial below, -2 is a zero. <BR>\n" );
document.write( "g(x)=x^3 -2x^2 -11x -6<BR>\n" );
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document.write( "-2)....1....-2....-11....-6<BR>\n" );
document.write( "........1.....-4.....-3...|..0\r<BR>\n" );
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document.write( "Quotient: x^2-4x-3<BR>\n" );
document.write( "Solve x^2-4x-3 = 0<BR>\n" );
document.write( "x = [4+-sqrt(16-4*-3)]/2 = [4+-sqrt(28)]/2<BR>\n" );
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document.write( "x = [4 +- 2sqrt(7)]/2<BR>\n" );
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document.write( "x = 2+sqrt(7) or x = 2-sqrt(7)<BR>\n" );
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document.write( "Express g(x) as a product of linear factors.<BR>\n" );
document.write( "g(x) = (x+2)(x-2-sqrt(7))(x-2+sqrt(7))<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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