Suppose f is a polynomial such that f(0)=47 f(1)=32 f(2)=−13f(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 
