Let 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 that have even degree. (For example, the sum of the coefficients of the terms in \(-7x^3 + 4x^2 + 10x - 5\) that have even degree is \((4) + (-5) = -1.\))
Please explain thoroughly.
