Minimum degree for an irreducible polynomial
4000
If every polynomial of degree 2 is reducible then $K$ is algebraically closed?
96620
Condition on degrees for existence of a tree
114762
Prove that $f(x)$ is irreducible iff its reciprocal polynomial $f^*(x)$ is irreducible.
91356
Irreducibility of an infinite sequence of polynomials
141792
Slick proof the determinant is an irreducible polynomial
16592
Irreducible polynomial which is reducible modulo every prime
74777
Solvability and reducibility of a polynomial in a "chain" of finite fields
10266
Minimal polynomial reducible modulo every prime $p$
129834
Show that there is a unique polynomial of degree at most $2n+1$ such that $q^{[k]}(x_1)=a_k,$ $q^{[k]}(x_2)=b_k$ for $k=0, \dots, n$.
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
120627
Reducibility of polynomials modulo p
13353
How do I find the degree of a multivariable polynomial automatically?
154373
How many irreducible monic quadratic polynomials are there in $\mathbb{F}_p[X]$?
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
140808
Problem on Galois theory and irreducible polynomial
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
104782
Polynomial irreducible - maximal ideal