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7. Some irreducible polynomials
existence of an element of order 4 in (Z =p) . Thus, x2 + 1 is irreducible in such k[x]. ... Dirichlet’s theorem on primes in arithmetic progressions assures that there are in nitely many such. The presence of ... For uniqueness, suppose R(x) were another polynomial of degree <ntaking the same values at ndistinct points
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