Necessary and sufficient condition for $x^n - y^m$ to be irreducible in $\Bbb C[x,y]$
2043
$X^n-Y^m$ is irreducible in $\Bbb{C}[X,Y]$ iff $\gcd(n,m)=1$
118950
Irreducibility criteria for polynomials with several variables.
157031
Express $x^8-x$ as a product of irreducibles in $\Bbb Z_2[x]$
108767
Irreducible Components of the Prime Spectrum of a Quotient Ring and Primary Decomposition
8977
Showing $x^{5}-ax-1\in\mathbb{Z}[x]$ is irreducible
37953
Primary Decomposition of $\mathbb{R^n}$ under T
30049
If $T^m$ is diagonalizable for a $m\in\mathbb N$, then $T$ is diagonalizable.
11962
Irreducibility check for polynomials not satisfying Eisenstein Criterion.
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
102422
Irreducibly of $x^5-x-1$ over $\mathbb{F}_3$
78143
Proving $\mathbb{F}_p/\langle f(x)\rangle$ with $f(x)$ irreducible of degree $n$ is a field with $p^n$ elements
121714
Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
29545
$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$
7858
Proving that $f(x)$ is irreducible over $F(b)$ if and only if $g(x)$ is irreducible over $F(a)$
110944
Proving that $AB-BA=cI$ for nontrivial $c \in \mathbb{C}$
93196
$x^4 -10x^2 +1 $ is irreducible over $\mathbb Q$