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IrreduciblePolynomialQ

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Tests whether a polynomial is irreducible over the rationals

IrreduciblePolynomialQ[poly]
IrreduciblePolynomialQ[poly, Modulus -> p]
IrreduciblePolynomialQ[poly, Extension -> {a1, a2, …}]
IrreduciblePolynomialQ[poly, Extension -> All]

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