document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=319327>Question 319327</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that -1 is a zero of the polynomial g(x)=x^3-3x^2-3x+1, express g(x) as a product of linear factors.<BR>\n" );
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 #228630 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=228630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given that -1 is a zero of the polynomial g(x)=x^3-3x^2-3x+1, express g(x) as a product of linear factors.<BR>\n" );
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document.write( "If -1 is a zero, use synthetic division to find the other factors:<BR>\n" );
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document.write( "-1)....1....-3....-3....1<BR>\n" );
document.write( ".......1....-4....1....|..0<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "The quadratic factor is x^2-4x+1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Use the quadratic formula to find the zeroes:<BR>\n" );
document.write( "x = [4 +- sqrt(16-4*1)]/2<BR>\n" );
document.write( "x = [4 +- sqrt(12)]/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [4 +- 2sqrt(3)]/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = [2 +- sqrt(3)]<BR>\n" );
document.write( "x = 2+sqrt(3) or x = 2-sqrt(3) or x = -1<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" );