Question: Show that, the polynomials f(x) = x 2 +x+1 ? Z2[x] and g(x) = x 2 +2x+2 ? Z3[x] are irreducible.

Show that, the polynomials f(x) = x
2 +x+1 ? Z2[x] and
g(x) = x
2 +2x+2 ? Z3[x] are irreducible.

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