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Let f(x) = x+ x + 2 and g(x) = x3+2 be polynomials in Z3[x]. Let I be the ideal generated by f(x) and

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Let f(x) = x+ x + 2 and g(x) = x3+2 be polynomials in Z3[x]. Let I be the ideal generated by f(x) and g(x). Prove that 1 I.

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