How to show that $X^p-t\in\mathbb{F}_p(t)[x]$ is irreducible?
132572
Why this polynomial is irreducible?
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
70249
Irreducibility of Polynomials in $k[x,y]$
7858
Proving that $f(x)$ is irreducible over $F(b)$ if and only if $g(x)$ is irreducible over $F(a)$
10885
Existence of irreducible polynomials over finite field
51952
Show that $x^{n-1}+\cdots +x+1$ is irreducible over $\mathbb Z$ if and only if $n$ is a prime.
120147
For what prime numbers $p$ is $x^2+x+1$ irreducible in $\mathbb{F}_p[X]$
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
146887
Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
1487
How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$?
132665
Show $p(X)$ (over a field) is irreducible iff $p(X+a)$ is irreducible
127205
Explain proof of irreducibility of $x^{p-1} + 2x^{p-2}+ \dots +(p-1)x + p$
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
114198
Showing that $y$ is irreducible in $\mathbb R[x,y]/(x^2+y^2-1)$.
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
8977
Showing $x^{5}-ax-1\in\mathbb{Z}[x]$ is irreducible
28658
$R$ with an upper bound for degrees of irreducibles in $R[x]$