Question: Let f(x) F[x] be a polynomial such that every irreducible factor of f(x) is a separable polynomial over F. Show that the group of

Let f(x) ∈ F[x] be a polynomial such that every irreducible factor of f(x) is a separable polynomial over F. Show that the group of f(x) over F can be viewed in a natural way as a group of permutations of the zeros of f(x) in F.

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