document.write( "Question 975778: come up with a polynomial function that goes through these four points:\r
\n" ); document.write( "\n" ); document.write( "(0, 0)\r
\n" ); document.write( "\n" ); document.write( "(1, 2)\r
\n" ); document.write( "\n" ); document.write( "(3, -2)\r
\n" ); document.write( "\n" ); document.write( "(5, 5)\r
\n" ); document.write( "\n" ); document.write( "Thank you. \n" ); document.write( "

Algebra.Com's Answer #597463 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "We have 4 points, and a cubic (3rd degree) polynomial has 4 \r\n" );
document.write( "coefficients, so we will assume a cubic polynomial function:\r\n" );
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document.write( "We substitute each point:\r\n" );
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document.write( "That simplifies to this system of equations:\r\n" );
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document.write( "Since D=0 the system reduces to\r\n" );
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document.write( "We can divide the last equation by 5, so it simplifies further to:\r\n" );
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document.write( "Solve that system and get , , ,\r\n" );
document.write( "and we already had .\r\n" );
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document.write( "So\r\n" );
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document.write( "becomes \r\n" );
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document.write( "Edwin

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