$x^p - x+ a$ is irreducible in $\mathbb{F}_p [x]$ if $a\neq 0$
1487
How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$?
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
80188
There are infinitely many irreducible polynomials in $\Bbb{F}_p[X]$
24626
Irreducibility of $X^n - 2$ over $\mathbf Z[i]$.
76640
Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
44502
An irreducible polynomial cannot share a root with a polynomial without dividing it
29545
$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$
118212
Is it true that $A^A\simeq P(A)$?
137233
$f$ is irreducible $\iff$ $G$ act transitively on the roots
46891
Irreducibility of reciprocal polynomials
57639
Show there exists an $\alpha\in F_{p^n}$ such that $\alpha +\alpha^p+\alpha^{p^2}+\cdots+\alpha^{p^{n-1}}\neq 0$
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
85459
$x^3+x+1$ irreducible over $\mathbb{F}_2$, $\theta$ root, compute powers of $\theta$
28658
$R$ with an upper bound for degrees of irreducibles in $R[x]$
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$