Irreducible polynomial over C[X, Y]
2043
$X^n-Y^m$ is irreducible in $\Bbb{C}[X,Y]$ iff $\gcd(n,m)=1$
110760
Chromatic Polynomial
79564
Algorithm to find the irreducible polynomial
84355
Methods to see if a polynomial is irreducible
114146
Polynomial in $n$ variables
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
17670
If $p\in R[X_1,\dots,X_n]$ is irreducible, is it still irreducible in $R[X_1,\dots,X_n,\dots,X_N]$?
106914
Existence of Irreducible polynomials over $\mathbb{Z}$ of any given degree
138631
Overlapping Polynomials
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
29545
$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$
25290
Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$
38364
Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension
67001
Factorizing polynomials over fields other than $\mathbb{C}$
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
73344
Definition of irreducible polynomial via the units of an integral domain.