Proving that $x^3-9$ is irreducible in $\mathbb{F}_{31}[x]$
51221
Is $x^3-9$ irreducible over the integers mod 31?
40994
How to check that a cubic polynomial is irreducible?
10885
Existence of irreducible polynomials over finite field
24626
Irreducibility of $X^n - 2$ over $\mathbf Z[i]$.
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
28658
$R$ with an upper bound for degrees of irreducibles in $R[x]$
70249
Irreducibility of Polynomials in $k[x,y]$
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
156671
Necessary and sufficient condition for $x^n - y^m$ to be irreducible in $\Bbb C[x,y]$
70581
Is $x^3+y^3+z^3-1$ irreducible over a field $k$ of characteristic $\neq 3$?
70537
Irreducible polynomials have distinct roots?
32391
Show that $x^2+x+4$ is irreducible over $\mathbb Z_{11}$.
85459
$x^3+x+1$ irreducible over $\mathbb{F}_2$, $\theta$ root, compute powers of $\theta$
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
146887
Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
119152
Proving irreducibility of $x^6-72$
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension