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 −7x3+4x2+10x−5 that have even degree is (4)+(−5)=−1.)
2.Let f(x)=x4−3x2+2 and g(x)=2x4−6x2+2x−1. Let a be a constant. What is the largest possible degree of f(x)+a⋅g(x)?
Thanks a billion!
-PharaoCarl