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 $f$?
f(1) shows us that the sum of the coeficients = 32
If a polynomial is ax^2 + bx + c, x = 1 will just be a + b + c.
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