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 $f$? This problem has confuzzled me greatly. I have tried creating polynomials of several degrees but I am routinely getting confused. Thanks for the help.

Guest Aug 7, 2020