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  3. consider the ring homomorphism ? : z[x] ?r defined

Consider the ring homomorphism ? : Z[x] ?R defined by ?(x) = ?5. Let I = {f...

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Advance Math

Consider the ring homomorphism ? : Z[x] ?R defined by ?(x) =?5.

Let I = {f ?Z[x]|?(f) = 0}.

First prove that I is an ideal in Z[x]. Then find g ? Z[x] suchthat I = (g). [You do not need to prove the last equality.]

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