Suppose that f (x) and g(x) are irreducible over F and
Chapter 21, Problem 6E(choose chapter or problem)
Suppose that f(x) and g(x) are irreducible over F and that deg f(x) and deg g(x) are relatively prime. If a is a zero of f(x) in some extension of F, show that g(x) is irreducible over F(a).
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