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 \(f\)
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.
+223 
