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Suppose \(f\) is a polynomial such that \(f(0)=47\) \(f(1)=32\) \(f(2) = -13\)\(f(3)=16\).What is the sum of the coeffiecients of \(f\)

 Apr 18, 2021
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By the Lagrange Interpolation Formula, f(x) = 31/3*x^3 - 32*x^2 - 22/3*x + 47.  Then the sum of the coefficients is 31/3 - 32 - 22/3 = -29.

 Apr 18, 2021

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