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 $f$?
If you answer, thanks! I'm pretty stuck right now.
Because f(1) will always equal the sum of the coeficcients, the answer is 32. This was a cool question, and I see how you could have gotten stuck.