Polynomials are expressions like $15x^3 - 14x^2 + 8$. Questions tagged with this concern common operations on polynomials, like adding, multiplying, polynomial long division, factoring and solving for roots.

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Reducible polynomials in $\mathbb{Z}[X]$

Let $(a_n)_{n\geq 1}$ be a strictly increasing sequence of integers and $k$ an integer different from $0$. There exists among the polynomials $$ (X-a_1)(X-a_2)\cdots(X-a_n)+k,\ n\geq 1 $$ only ...