Consider the ring homomorphism ϕ : Z[x] →R defined by ϕ(x) = √5. Let I =...

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

Let I = {f ∈Z[x]|ϕ(f) = 0}.

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

Expert Solution

Colby Messinger answered 2 years ago

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