We’ll say a polynomial f(x) ∈ R[x] is prime if the ideal (f(x)) ⊂ R[x] is...

We’ll say a polynomial f(x) ∈ R[x] is prime if the ideal (f(x)) ⊂ R[x] is prime. If F is a field with finitely many elements (e.g., Z/pZ), prove that f(x) ∈F [x] is prime if and only if it’s irreducible.

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Colby Messinger answered 1 year ago

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