Prove that $x^{p^n} -x +1$ is irreducible over $\mathbb{F_p}$ only when n=1 or n=p=2
54192
Why $x^{p^n}-x+1$ is irreducible in ${\mathbb{F}_p}$ only when $n=1$ or $n=p=2$
19202
$\mathbb{F}_{p^d}\subseteq\mathbb{F}_{p^n}$ if and only if $d$ divides $n$
132665
Show $p(X)$ (over a field) is irreducible iff $p(X+a)$ is irreducible
146887
Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
100361
Show that ord$_{p}2 = 2^{n + 1}$.
60816
Irreducibility of special cyclotomic polynomial.
154360
Show $f$ can't be irreducible over a finite field if $f^\prime$ is the zero polynomial.
114198
Showing that $y$ is irreducible in $\mathbb R[x,y]/(x^2+y^2-1)$.
121658
$x^2+y^2-1$ irreducible in $\mathbb{Q}[x,y]$?
51952
Show that $x^{n-1}+\cdots +x+1$ is irreducible over $\mathbb Z$ if and only if $n$ is a prime.
93196
$x^4 -10x^2 +1 $ is irreducible over $\mathbb Q$
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
12166
How many irreducible polynomials of degree $n$ exist over $\mathbb{F}_p$?
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
35959
irreducibility of a polynomial over $\mathbb{F}_2$
85459
$x^3+x+1$ irreducible over $\mathbb{F}_2$, $\theta$ root, compute powers of $\theta$