SOLUTION: come up with a polynomial function that goes through these four points: (0, 0) (1, 2) (3, -2) (5, 5) Thank you.

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Question 975778: come up with a polynomial function that goes through these four points:
(0, 0)
(1, 2)
(3, -2)
(5, 5)
Thank you.

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
We have 4 points, and a cubic (3rd degree) polynomial has 4 
coefficients, so we will assume a cubic polynomial function:



We substitute each point:






That simplifies to this system of equations:



Since D=0 the system reduces to



We can divide the last equation by 5, so it simplifies further to:



Solve that system and get , , ,
and we already had .

So



becomes 

Edwin


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