Question

We have that 3 * f(x) + 4 * g(x) = h(x) where f(x), g(x), and h(x) are all polynomials in x. If the degree of f(x) is 8 and the degree of h(x) is 9, then what is the minimum possible degree of g(x)?

Answer 1

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Answer:

9

Explanation:

Adding polynomials causes like terms to be combined. The sum cannot have a degree higher than the degree of any of the terms in the sum. If the degree of f(x) is 8, then the degree of g(x) must be 9 in order for the sum to be of degree 9.