IrreduciblePolynomialQ

IrreduciblePolynomialQ[poly] tests whether poly is an irreducible polynomial over the rationals.

IrreduciblePolynomialQ[poly,Modulus->p] tests whether poly is irreducible modulo a prime p.

IrreduciblePolynomialQ[poly,Extension->{a1,a2,…}] tests whether poly is irreducible over the field extension generated by the algebraic numbers ai.

IrreduciblePolynomialQ[poly,Extension->All] tests whether poly is absolutely irreducible over the complex numbers.

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