2. Irreducible polynomials

Since, when the ring $A$ is factorial, the study of divisibility boils down to the decomposition of a polynomial into irreducible factors, it is essential to be able to determine the irreducible polynomials of a ring of polynomials. This question cannot be tackled without prior knowledge of $A$ . Very often, $A$ will be a body. We will therefore discuss irreducible polynomials in close connection with the...

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Irreducible polynomials