For $p$ prime, is the polynomial $x^p-x+1$ irreducible in $\mathbb{Z}_p$?
1487
How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$?
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
40994
How to check that a cubic polynomial is irreducible?
120627
Reducibility of polynomials modulo p
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
25290
Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
8977
Showing $x^{5}-ax-1\in\mathbb{Z}[x]$ is irreducible
48093
Irreducible polynomial in field extension
46292
Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$
64878
Is this polynomial irreducible in $\mathbb{Q}$?
31215
Irreducible cyclotomic polynomial
44878
Factor $x^5+x^2+1$ into irreducible polynomials in $Z[x]$
155532
difference between irreducible element and irreducible polynomial
109610
Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$
155962
Are there irreducible polynomials that are partially solvable by radicals?
78549
Any prime is irreducible