Prove or disprove that $X^4+1$ is irreducible in $\frac{\mathbb{Z}}{p\mathbb{Z}}[X]$
121479
Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime
114762
Prove that $f(x)$ is irreducible iff its reciprocal polynomial $f^*(x)$ is irreducible.
31049
If $p$ is an irreducible element of an integral domain $D$, and if $e$ belongs to $D^\ast$ prove that $ep$ is also ireducible
19968
Describe all $p^{n}$ (in terms of congruence conditions of $p$ and $n$) for which $x^{2}+1$ irreducible over $\mathbb{F}_{p^{n}}$.
35959
irreducibility of a polynomial over $\mathbb{F}_2$
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
121714
Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
146887
Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension
8977
Showing $x^{5}-ax-1\in\mathbb{Z}[x]$ is irreducible
64878
Is this polynomial irreducible in $\mathbb{Q}$?
32054
How To Prove That The Rijndael Polynomial Is Irreducible?
29545
$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
108385
Irreducible factors of $x^8 - x$ in $Z/2Z[x]$
93291
Method for determining irreducibles and factorising in $\mathbb Z[\sqrt{d}]$