In Z[x], let I = { f(x) Z[x]
Chapter 14, Problem 37E(choose chapter or problem)
In Z[x], let \(I=\{f(x) \in Z[x] | f(0)\) is an even integer}. Prove that \(I = \langle x, 2 \rangle\). Is I a prime ideal of Z[x]? Is I a maximal ideal? How many elements does Z[x]/I have? (This exercise is referred to in this chapter.)
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