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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.

 Aug 7, 2020
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The sum of the coefficients of any polynomial, f(x), is obtained by setting x = 1.  Hence the sum is given by f(1), which is 32 here (the rest of the information in the question is just there to confuse you!).

 Aug 8, 2020

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