Four points on a cubic polynomial are given as (-1, -10), (1, -4) (2, 2) and (0,-4). Find the equation to the polynomial.

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- Jun 18th 2013, 01:10 AMbrosnan123Linear Algebra
Four points on a cubic polynomial are given as (-1, -10), (1, -4) (2, 2) and (0,-4). Find the equation to the polynomial.

- Jun 18th 2013, 01:24 AMProve ItRe: Linear Algebra
Have you tried anything so far?

The equation of cubic is $\displaystyle \displaystyle y = a\,x^3 + b\,x^2 + c\,x + d$. Can you substitute the four points to give four equations that you can solve simultaneously for a,b,c,d? - Jun 18th 2013, 08:57 PMmpx86Re: Linear Algebra
first calculate d by subtituting the point (0,-4) and then the other 3 coefficients