Please see the attached file for the fully formatted problem.
Describe the rings:
Z[x]/(x2 − 3, 2x + 4), Z[i]/(2 + i) where i2 = −1.
Z[x]/(x^2-3, 2x+4) is isomorphic to GF(4), the field with 4 elements. Let I be the ideal generated by x^2-3 and ...
Solution shows how the rings are described as isomorphic.