Question: [5 points] Let f(x) E Z[x]. Prove that (f(x) ) = f(x) Z[x] is a prime ideal of Z[x] if and only if f (x)

[5 points] Let f(x) E Z[x]. Prove that (f(x) ) = f(x) Z[x] is a prime ideal of Z[x] if and only if f (x) is a primitive polynomial and f (x) is irreducible in Qx]

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