SOLUTION: Find a polynomial function whose graph passes through each set of points. (-2,10) (-1,-4) (0,-2) (1,-2)

Question 1063017: Find a polynomial function whose graph passes through each set of points. (-2,10) (-1,-4) (0,-2) (1,-2)
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Four points could go well for degree-three polynomial function.
Unknown constant coefficients, a, b, c, d;

Use the given points to form four specific degree-three equations for a system.

This is the system to solve.

Substituting for d makes for a simpler three-variable system

(-1/2)*E1 gives

E1-E3 and E2-E3 give

This very simple system gives two of the variables.

d was already found early, and with a, b, d, all now found, c can be evaluated, whichever equation you want.

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