document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147734>Question 147734</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)=2x^3-x^2-12x+6<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 #108126 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=108126\">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)=2x^3-x^2-12x+6<BR>\n" );
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document.write( "Using synthetic division:<BR>\n" );
document.write( "(1/2)....2....-1....-12....6<BR>\n" );
document.write( "..........2.....0......-12..|..0\r<BR>\n" );
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document.write( "Zero at x=1/2<BR>\n" );
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document.write( "Examine 2x^2-12 = 0<BR>\n" );
document.write( "2x^2 = 12<BR>\n" );
document.write( "x^2 = 6<BR>\n" );
document.write( "Zeroes at x = sqrt(6) and at x = -sqrt(6)<BR>\n" );
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document.write( "Chees,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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