document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134150>Question 134150</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with the following problem:<BR>\n" );
document.write( "Solve the problem. Solve the equation 12x³-77x²+91x-30=0 given that 2/3 is a root\r<BR>\n" );
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document.write( "Thanks in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98109 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=98109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you are given that 2/3 is a root, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2F3 ALIGN=MIDDLE  ALT=\"x=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=2 ALIGN=MIDDLE  ALT=\"3x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2=0 ALIGN=MIDDLE  ALT=\"3x-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-2 ALIGN=MIDDLE  ALT=\"3x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a factor of: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E3-77x%5E2%2B91x-30 ALIGN=MIDDLE  ALT=\"12x%5E3-77x%5E2%2B91x-30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using either polynomial long division or synthetic division, divide the cubic by the above derived factor.  Since the factor was derived from a root, the division will come out even, i.e. no remainder.  The quotient will be a quadratic that you can solve either by factoring, completing the square, or use of the quadratic formula.\r<BR>\n" );
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document.write( "Let me know if you need any help on any of these steps. </SPAN>\n" );
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