Irreducible polynomials
Polynomials Algebraic study

Since, when the ring $\mathbb{A}$ 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 $\mathbb{A}$ . Very often, $\mathbb{A}$ will be a body. We will therefore discuss irreducible polynomials in close connection with the...