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Suppose f and g are polynomials, and that h(x)=f(g(x))+g(x).  Find the degree of g(x) given that the degree of h(x) is 8 and the degree of f(x) is 4.

 Oct 18, 2020
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f( x^n + x^n)        =   (x^n+x^n)4    = x^8

                                     (2x^n)4  = x^8

                                               n = 2             g(x) = 2 degree

 
 Oct 18, 2020

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