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``Re: Proof'' by pahio on 2007-12-28 15:03:33
Please look the definition of "irreducible polynomial". In algebra, the irreducibility refers to the "field of the coefficients" of the polynomial. Your example \pi{xx}-ex+3 is irreducible since it does not split in Q[\pi, e] (this is not R). If the coefficients were all in Q, then the irreducibility is checked in Q.
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