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)?
Multiplying by a constant will not change the degree of g(x)
adding them will only result in a degree of 4 at the greatest