Showing irreducibility of a polynomial.
18958
Eisenstein Criterion with a twist
114198
Showing that $y$ is irreducible in $\mathbb R[x,y]/(x^2+y^2-1)$.
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
117743
Remainder of the polynomial
28658
$R$ with an upper bound for degrees of irreducibles in $R[x]$
53012
Irreducibility of a polynomial if it has no root (Capelli)
60816
Irreducibility of special cyclotomic polynomial.
132410
Difficult Polynomial Question
8977
Showing $x^{5}-ax-1\in\mathbb{Z}[x]$ is irreducible
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
41693
Use irreducible fibers to show $X$ is irreducible
118950
Irreducibility criteria for polynomials with several variables.
141792
Slick proof the determinant is an irreducible polynomial
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
73344
Definition of irreducible polynomial via the units of an integral domain.
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
103340
Show that this entire function is polynomial.