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* g(x)?

Question

Please anwser this questions

Answer 1

Since a is a constant it cannot change the degree of the polynomial, the highest of which is 4 (because of the x^4 terms).