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) with even exponents. (For example, the sum of the coefficients of the terms in -7x^3+4x^2+10x-5 with even exponents is 4+(-5)=-1).
*I've already found a, b, and c and I just need to find a way to find the coefficients of even terms and add them up without doing ^16.
Thx
