Determine whether a polynomial is irreducible
102422
Irreducibly of $x^5-x-1$ over $\mathbb{F}_3$
78549
Any prime is irreducible
10627
When is $X^n-a$ is irreducible over F?
74777
Solvability and reducibility of a polynomial in a "chain" of finite fields
38209
How often must an irreducible polynomial take a prime value?
155962
Are there irreducible polynomials that are partially solvable by radicals?
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
87101
Irreducible but not prime in $K[X,Y]/(X^2-Y^3)$
40014
A polynomial that is zero on an open set
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
102432
Irreducible polynomial of degree $8$
28079
Do these definitions of irreducibility of algebraic sets coincide?
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
40502
The Degree of Zero Polynomial.
155559
Quickest way to determine a polynomial with positive integer coefficients
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
132665
Show $p(X)$ (over a field) is irreducible iff $p(X+a)$ is irreducible