Suppose f is a polynomial such that f(0) = 47, f(1) = 32, f(2) = -13, and f(3)=16. What is the sum of the coefficients of f?
Since f(0) = 47.....then the constant term of the polynomial = 47
And since f(1) = 32 then we have that
[ sum of coefficients ] + 47 = 32 subtract 47 from both sides
[ sum of coefficients ] = 32 - 47 = -15
