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

 Jul 4, 2021
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The largest degree of f(x) is 4.

The largest degree of g(x) is 6

Multiplying g(x) by a constant does not increase the degree of g(x).

 

Adding together these polynomials give a result whose highest degree is 6.

 Jul 5, 2021

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