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 $f$?
+128475 If f((0) = 47.....then the constant term is 47
If f(1) = 32......then the sum of the coefficients + the constant term = 32
This implies that
sum of coefficients + constant term = 32
sum of coefficients + 47 = 32 subtract 47 from both sides
sum of the coefficients = -15
