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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.

 Jun 27, 2021
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g(x) = ?

 

h(x) =x^8   =    g(x)^4            g(x) is degree 2     then raised to the fourth power by f(x) makes h(x) degree eight.

 Jun 28, 2021

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