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Question
In the field `ZZ_3[alpha]`, where `alpha` is a zero of
`x^2 + 1` , consider the product `(1 + alpha)(2 + 2 alpha)`.
Which of the following statements is correct:
A) The product `(1 + alpha)(2 +2 alpha) = alpha`.
B) The product `(1 + alpha)(2 +2 alpha) = 0`.
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