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Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^5 - 6x^2 + 2x -1. Let b be a constant. What is the smallest possible degree of the polynomial f(x) + b* g(x)?

 Oct 5, 2021
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5th degree       multiplying g   by any constant does not change the degree of g     and there is no 5th degree element in f to cancel the x^5 term

 Oct 5, 2021

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