Let \(f(x)\) be a quadratic polynomial such that \(f(-4) = -22,\) \(f(-1)=2\), and \(f(2)=-1.\) Let \(g(x) = f(x)^{16}.\) Find the sum of the coefficients of the terms in \(g(x)\) that have even degree.
I posted an answer to this problem here:
https://web2.0calc.com/questions/reposted-again-bc-a-certain-user-kept-complaining