- #1

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## Homework Statement

Sorry for the multiple postings. I actually solved the other problems, so I have this last one:

Are ##\mathbb{Z}_3[x] / \langle x^2 + 2x + 1 \rangle ## and ##\mathbb{Z}_3[x] / \langle x^2 + x + 2 \rangle## isomorphic

## Homework Equations

## The Attempt at a Solution

It seems like they wouldn't be, because one ideal is maximal while the other isn't, but I am not sure if this is correct.