For which primes p is the polynomial irreducible in $\mathbb{Z}_p[x]$
46292
Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$
154360
Show $f$ can't be irreducible over a finite field if $f^\prime$ is the zero polynomial.
108385
Irreducible factors of $x^8 - x$ in $Z/2Z[x]$
97902
In a integral domain every prime element is irreducible
65558
Irreducible in $\mathbb{Z}[\sqrt{-5}]$
74224
On irreducible factors of $x^{2^n}+x+1$ in $\mathbb Z_2[x]$
79564
Algorithm to find the irreducible polynomial
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
70523
Proving that $x^4 - 10x^2 + 1$ is not irreducible over $\mathbb{Z}_p$ for any prime $p$.
158182
Let $R = \mathbb{Z} + x\mathbb{Q}[x]$. Find all the irreducibles in $R$.
106914
Existence of Irreducible polynomials over $\mathbb{Z}$ of any given degree
84355
Methods to see if a polynomial is irreducible
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
11962
Irreducibility check for polynomials not satisfying Eisenstein Criterion.
118950
Irreducibility criteria for polynomials with several variables.
10885
Existence of irreducible polynomials over finite field
78143
Proving $\mathbb{F}_p/\langle f(x)\rangle$ with $f(x)$ irreducible of degree $n$ is a field with $p^n$ elements