Solved: In Z[x], the ring of polynomials with integer

Chapter 14, Problem 34E

(choose chapter or problem)

In Z[x], the ring of polynomials with integer coefficients, let \(I = \{f(x) \in \ Z[x] | f(0) = 0\}\). Prove that \(I=\langle x\rangle\). (This exercise is referred to in this chapter and in Chapter 15.)

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