We have that 3f(x) + 4g(x) = h(x) where f(x), g(x), and h(x) are all polynomials in x. If the degree of f(x) is 4 and the degree of h(x) is 6, then what is the minimum possible degree of g(x)?
Multiplying a polynomial by a non-zero constant does not change its degree
So
If f ( x) is degree 4 and h(x) is degree 6 , then g(x) must be degree 6
