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We have that 3 times f(x) + 4 times 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)?

 Oct 7, 2020
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nine

Multiplying the polynomial by a constant (integer) does nothing to change the degree

 Oct 7, 2020

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