Is the polynomial $x^4+10x^2+1$ reducible over $\mathbb{Z}[x]$?
93196
$x^4 -10x^2 +1 $ is irreducible over $\mathbb Q$
8977
Showing $x^{5}-ax-1\in\mathbb{Z}[x]$ is irreducible
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
79564
Algorithm to find the irreducible polynomial
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
76640
Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
29545
$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
70249
Irreducibility of Polynomials in $k[x,y]$
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
4000
If every polynomial of degree 2 is reducible then $K$ is algebraically closed?
73344
Definition of irreducible polynomial via the units of an integral domain.
51952
Show that $x^{n-1}+\cdots +x+1$ is irreducible over $\mathbb Z$ if and only if $n$ is a prime.
99835
Polynomial in $\mathbb{Q}[x]$ with root $\sqrt[3]{2}+\sqrt[3]{3}$
16035
Irreducibility of $X^{p-1} + \cdots + X+1$
158182
Let $R = \mathbb{Z} + x\mathbb{Q}[x]$. Find all the irreducibles in $R$.
109610
Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$