Let be a zero of f (x) 5 x2 + 2x + 2 in some extension

Chapter 22, Problem 5E

(choose chapter or problem)

Let \(\alpha\) be a zero of \(f(x)=x^{2}+2 x+2\) in some extension field of \(Z_{3}\). Find the other zero of \(f(x)\) in \(Z_{3}[\alpha]\).

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