A polynomial of degree 2 is reducible over a field if and only if it has a root in that field. So, we need to check if there exists \( a \in Z_{3} \) such that \( f(a) = 0 \).
We have \( Z_{3} = \{0, 1, 2\} \). Let's calculate \( f(a) \) for each \( a \in Z_{3}
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