+53 1. Let \(f(x)\) be a quadratic polynomial such that \(f(-4) = -22,\) and \(g(x) = f(x)^{16}.\) Let Find the sum of the coefficients of the terms in \(g(x)\) 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 \((4) + (-5) = -1.\))
2.Let \(f(x) = x^4-3x^2 + 2\) and \(g(x) = 2x^4 - 6x^2 + 2x -1\). Let \(a\) be a constant. What is the largest possible degree of \(f(x) + a\cdot g(x)\)?
Thanks a billion!
-PharaoCarl
