document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825417>Question 825417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> List the possible rational zeros the function f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x%5E3+-+21x+%2B+18 ALIGN=MIDDLE  ALT=\"+3x%5E3+-+21x+%2B+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >? Describe and use one method (other than substitution) to determine if x = 6 is a zero of f(x). Then find all the real zeros of the function.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #497273 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=497273\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> List the possible rational zeros the function <BR>\n" );
document.write( "f(x) =  3x^3 - 21x + 18<BR>\n" );
document.write( "Form: x = p/q<BR>\n" );
document.write( "p = +-1,+-2,+-3,+-6,+-9,+-18<BR>\n" );
document.write( "q = +-1,+-3<BR>\n" );
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document.write( "p/q = +-1,+-2,+-3 etc,etc<BR>\n" );
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document.write( "Describe and use one method (other than substitution) to determine if x = 6 is a zero of f(x).<BR>\n" );
document.write( "Using synthetic division::<BR>\n" );
document.write( "6)....3....0....-21....18<BR>\n" );
document.write( "......3...18....33...|..216\r<BR>\n" );
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document.write( "Since the remainder is not zero, x = 6 is not a zero of f(x).\r<BR>\n" );
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document.write( " Then find all the real zeros of the function.<BR>\n" );
document.write( "Using synthetic division:: x = 1,2,-3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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