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 coeffici

Let  be a quadratic polynomial such that  , and  Let  Find the sum of the coefficients of the terms in  that have even degree. (For example, the sum of the coefficients of the terms in  that have even degree is )
pls explain I rlly don't understand