Does there always exist an irreducible polynomial of degree $d$ over $\mathbb{Z}/p\mathbb{Z}$?
12166
How many irreducible polynomials of degree $n$ exist over $\mathbb{F}_p$?
11962
Irreducibility check for polynomials not satisfying Eisenstein Criterion.
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
140808
Problem on Galois theory and irreducible polynomial
121404
How to factor polynomials in $\mathbb{Z}_n$?
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
134342
Find a polynomial of degree > 0 in $\mathbb Z_4[X]$ that is a unit.
67001
Factorizing polynomials over fields other than $\mathbb{C}$
103552
The minimal polynomial of a primitive $p^{m}$-th root of unity over $\mathbb{Q}_p$
146591
Inseparable polynomial over a non-perfect field
137669
$P$ is a monic polynomial of degree $n$ , then which are correct?
102432
Irreducible polynomial of degree $8$
70537
Irreducible polynomials have distinct roots?
147047
Does there exist a polynomial $p(x) \in \mathbb C[x]$ such that $p(x) \notin \mathbb R[x]$ and $p(x)p(-x)=p(x^2)$?
74777
Solvability and reducibility of a polynomial in a "chain" of finite fields
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
87101
Irreducible but not prime in $K[X,Y]/(X^2-Y^3)$