document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045163>Question 1045163</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve this word problem?<BR>\n" );
document.write( "The polynomial in x has degree 3. The coefficient of x^2 is 3 less than the coefficient of x^3. The coefficient of x is 3 times the coefficient of x^2. The remaining coefficient is 2 more than the coefficient of x^3. The sum of the coefficients is -4. Find the polynomial. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660551 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=660551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assign variables to coefficients and transcribe literally into equations.  Solve the system.  Do not let the formal description of the numbers put you offcourse.  This is a simple linear system  application in three variables.\r<BR>\n" );
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document.write( "The polynomial, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E3%2Bbx%5E2%2Bcx%2Bd ALIGN=MIDDLE  ALT=\"ax%5E3%2Bbx%5E2%2Bcx%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The description of the coefficients, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28b=a-3%2Cc=3b%2Cd=a%2B2%2Ca%2Bb%2Bc%2Bd=-4%29 ALIGN=MIDDLE  ALT=\"system%28b=a-3%2Cc=3b%2Cd=a%2B2%2Ca%2Bb%2Bc%2Bd=-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a-b=3%2Cc=3b%2Cd=a%2B2%2Ca%2Bb%2Bc%2Bd=-4%29 ALIGN=MIDDLE  ALT=\"system%28a-b=3%2Cc=3b%2Cd=a%2B2%2Ca%2Bb%2Bc%2Bd=-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "substituting for c<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a-b=3%2Cd=a%2B2%2Ca%2Bb%2B3b%2Bd=-4%29 ALIGN=MIDDLE  ALT=\"system%28a-b=3%2Cd=a%2B2%2Ca%2Bb%2B3b%2Bd=-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a-b=3%2Cd=a%2B2%2Ca%2B4b%2Bd=-4%29 ALIGN=MIDDLE  ALT=\"system%28a-b=3%2Cd=a%2B2%2Ca%2B4b%2Bd=-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substituting for d<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a-b=3%2Ca%2B4b%2Ba%2B2=-4%29 ALIGN=MIDDLE  ALT=\"system%28a-b=3%2Ca%2B4b%2Ba%2B2=-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a-b=3%2C2a%2B4b=-6%29 ALIGN=MIDDLE  ALT=\"system%28a-b=3%2C2a%2B4b=-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a-b=3%2Ca%2B2b=-3%29 ALIGN=MIDDLE  ALT=\"system%28a-b=3%2Ca%2B2b=-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Partially ready for Elimination Method...subtract first from second.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%2Bb=-3-3 ALIGN=MIDDLE  ALT=\"2b%2Bb=-3-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > which eliminated \"a\".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3b=-6 ALIGN=MIDDLE  ALT=\"3b=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28b=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=a-3 ALIGN=MIDDLE  ALT=\"b=a-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a-3=b ALIGN=MIDDLE  ALT=\"a-3=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=b%2B3 ALIGN=MIDDLE  ALT=\"a=b%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-2%2B3 ALIGN=MIDDLE  ALT=\"a=-2%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=1%29 ALIGN=MIDDLE  ALT=\"highlight%28a=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=3b ALIGN=MIDDLE  ALT=\"c=3b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=3%2A%28-2%29 ALIGN=MIDDLE  ALT=\"c=3%2A%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28c=-6%29 ALIGN=MIDDLE  ALT=\"highlight%28c=-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=a%2B2 ALIGN=MIDDLE  ALT=\"d=a%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=1%2B2 ALIGN=MIDDLE  ALT=\"d=1%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=3%29 ALIGN=MIDDLE  ALT=\"highlight%28d=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "SUMMARY:  The polynomial is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28highlight%28x%5E3-2x%5E2-6x%2B3%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28highlight%28x%5E3-2x%5E2-6x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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