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Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^8 - 6x^2 + 2x -1. Let a be a constant. What is the largest possible degree of f(x) + a* g(x)?

 Apr 4, 2021
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since a is a constant, it can't change the degree. 

So our answer is the highest degrees of f(x) + g(x). 

That's basically the highest degree in f(x) of g(x). 

The highest degree in g(x) = 8 (2x^8)

and the highest degree in f(x) = 4 (x^4)

So our answer is 8, since 8 > 4. 

I hope this helped. :))

 

=^._.^=

 Apr 4, 2021

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