Show from Exercise 17 that every irreducible polynomial over a field F of characteristic 0 is separable.
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Show from Exercise 17 that every irreducible polynomial over a field F of characteristic 0 is separable.
Data from Exercise 17
Let ƒ(x) ∈ F[x], and let a ∈ F̅ be a zero of f(x) of multiplicity v. Show that v > 1 if and only if α is also a zero of f'(x).
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Let fx be an irreducible polynomial in Fx where F is a field of characteristic 0 Suppose that is a z...View the full answer
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