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1. Let \(f(x) = x^4-3x^2 + 2 \) and \(f(x) = x^4-3x^2 + 2 \). Let \(a\) be a constant. What is the largest possible degree of \(f(x) + a\cdot g(x)\)?

 

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

 Mar 16, 2019
edited by Guest  Mar 16, 2019
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1. The largest possible degree is 6.

 

2. The smallest possible degree is 2.

 Dec 1, 2019

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