New posts in Irreducible Polynomials

Quotient $K[x,y]/(f)$, $f$ irreducible, which is not UFD

Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$

$x^2 +y^2 + z^2$ is irreducible in $\mathbb C [x,y,z]$

Proving irreducibility of $x^6-72$

Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime

Does the Rational Root Theorem ever guarantee that a polynomial is irreducible?

Irreducibility of Polynomials in $k[x,y]$

Is $x^4+4$ an irreducible polynomial?

Irreducible polynomial means no roots?

Irreducibility of $X^{p-1} + \cdots + X+1$