document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116302>Question 1116302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial function whose graph passes through (-1,-9),(0,-2),(1,1),(2,12) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #731194 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=731194\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Four  points, and a plot suggests possibly degree 3.\r<BR>\n" );
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document.write( "Putting the points into equation of general cubic first gives:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a%28-1%29%5E3%2Bb%28-1%29%5E2%2Bc%28-1%29%2Bd=-9%2Ca%2A0%2Bb%2A0%2Bc%2A0%2Bd=-2%2Ca%2Bb%2Bc%2Bd=1%2Ca%2A2%5E3%2Bb%2A2%5E2%2Bc%2A2%2Bd=12%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Beginning to simplify,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28-a%2Bb-c%2Bd=-9%2Cd=-2%2Ca%2Bb%2Bc%2Bd=1%2C8a%2B4b%2B2c%2Bd=12%29 ALIGN=MIDDLE  ALT=\"system%28-a%2Bb-c%2Bd=-9%2Cd=-2%2Ca%2Bb%2Bc%2Bd=1%2C8a%2B4b%2B2c%2Bd=12%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%2Bc=7%2Ca%2Bb%2Bc=3%2C4a%2B2b%2Bc=7%29 ALIGN=MIDDLE  ALT=\"system%28a-b%2Bc=7%2Ca%2Bb%2Bc=3%2C4a%2B2b%2Bc=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R1+R2, and R1-R2,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a%2B2c=10%2C-2b=4%2C4a%2B2b%2Bc=7 ALIGN=MIDDLE  ALT=\"2a%2B2c=10%2C-2b=4%2C4a%2B2b%2Bc=7\"   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%2Bc=5%2Cb=-2%2C4a%2B2b%2Bc=7%29 ALIGN=MIDDLE  ALT=\"system%28a%2Bc=5%2Cb=-2%2C4a%2B2b%2Bc=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute for b.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a%2Bc=5%2C4a%2Bc=10%29 ALIGN=MIDDLE  ALT=\"system%28a%2Bc=5%2C4a%2Bc=10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ".\r<BR>\n" );
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document.write( ".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a=2%2Cc=3%29 ALIGN=MIDDLE  ALT=\"system%28a=2%2Cc=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "SUMMARY:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a=2%2Cb=-2%2Cc=3%2Cd=-2%29 ALIGN=MIDDLE  ALT=\"system%28a=2%2Cb=-2%2Cc=3%2Cd=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "EQUATION:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=2x%5E3-2b%5E2%2B3x-2%29 ALIGN=MIDDLE  ALT=\"system%28y=2x%5E3-2b%5E2%2B3x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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