Question

Let \( \mathbb{Z}[x]\) be the set of all polynomials p(x) in the variable x with with integer coefficients. Show that the function \( g: \mathbb{Z}[x] \to \mathbb{Z} \) defined by \(g(p(x))=p(0)\) is a ring homomorphism

Answer 1

I am not sure how polynomials come into play. I was looking for examples in my book but couldnt find any