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a) Show that if K = ℤ2 then q = x3 + x + 1 ∈K...

a) Show that if K = ℤ2 then q = x3 + x + 1 ∈K [x] is irreducible.
b) Prove: If p ∈ℝ [x] and degree of p = 3, then p is reducible. (Help: curve discussion, statement also applies if p has odd degree.)

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