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

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Advance Math

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’sirreducible.

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