Irreducible polynomial $X^q-2$
140808
Problem on Galois theory and irreducible polynomial
73997
$x^{p-1} + ... + x^2 + x + 1$ is irreducible using Eisenstein's criterion?
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
60816
Irreducibility of special cyclotomic polynomial.
25471
Irreducibility of $x^n-x-1$ over $\mathbb Q$
16592
Irreducible polynomial which is reducible modulo every prime
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
41693
Use irreducible fibers to show $X$ is irreducible
143107
Why is $X^4 + \overline{2}$ irreducible in $\mathbb{F}_{125}[X]$?
25290
Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$
112371
Computing irreducible components of algebraic set
80188
There are infinitely many irreducible polynomials in $\Bbb{F}_p[X]$
121714
Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
109610
Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$
112427
Irreducibility of $p(x)=x^4-4x^2+8x+2$ over $\mathbb{Q}(\sqrt{-2})$- Dummit Foote Abstract algebra $9.4.10$
155962
Are there irreducible polynomials that are partially solvable by radicals?