Let R=Z[X], and let I be the ideal generated by x3 +2x. Find integers a, b, and c such that in R/I we have I+x5+x6=I+a+bx+cx2.

Q: 21. Referring to Example 50.9, show that G(Q(V2, iv3)/Q(iv3)) = .

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Q: 2. In the ring Z of integers, consider the principal ideal I = (3) = {3k|k E Z}. Find Z/I. %3D %3D

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Q: 2. Determine whether or not the set is an ideal in the ring M2×2(R). J-{(8₂9) | PCR} = ER

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Q: I is an ideal of Z[x].

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