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)?
As long as " a" is not equal to -1/2, the largest possible degree of f(x) + a* g(x) = 4
