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Maximal Ideals, Cosets, Polynomials and Quotient Rings

Consider the ring of Z[x] and its ideal (2, )

Find the size of Z[x] / (2, ) and find a coset representative for each coset of Z[x] / (2, ) ; Is the Z[x] / (2, ) a field (You need to prove it) ? Is the Z[x] / (2, ) an integral domain (You need to prove it)

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Maximal Ideals, Cosets, Polynomials and Quotient Rings are investigated.

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