Polynomial is irreducible (gcd/field extension)
48093
Irreducible polynomial in field extension
93291
Method for determining irreducibles and factorising in $\mathbb Z[\sqrt{d}]$
91356
Irreducibility of an infinite sequence of polynomials
132572
Why this polynomial is irreducible?
79564
Algorithm to find the irreducible polynomial
146887
Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
100162
Minimal polynomial over an extension field divides the minimal polynomial over the base field
141792
Slick proof the determinant is an irreducible polynomial
67001
Factorizing polynomials over fields other than $\mathbb{C}$
14270
Polynomial divisibility is unchanged by coeff. field extension
148909
Irreducible polynomials of degree 3 and 5
100573
Show that $x^4-10x^2+1$ is irreducible over $\mathbb{Q}$
137233
$f$ is irreducible $\iff$ $G$ act transitively on the roots
1060
Minimal polynomial of intermediate extensions under Galois extensions.
109610
Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$
140808
Problem on Galois theory and irreducible polynomial