Is $x^6-3$ irreducible over $\mathbb{F}_7$?
66656
I have to find a splitting field of $x^{6}-3$ over $\mathbb{F}_{7}$
47299
Factorize $x^8-x$ over $F_3$ and $F_{81}$
93196
$x^4 -10x^2 +1 $ is irreducible over $\mathbb Q$
20790
What are irreducibles in the ring $R$ of entire functions?
12166
How many irreducible polynomials of degree $n$ exist over $\mathbb{F}_p$?
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
146887
Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension
51221
Is $x^3-9$ irreducible over the integers mod 31?
100573
Show that $x^4-10x^2+1$ is irreducible over $\mathbb{Q}$
20612
Is fibre product of varieties irreducible (integral)?
10627
When is $X^n-a$ is irreducible over F?
127310
Suppose $\gcd(\deg(f),\deg (g))=1$. Show that $g(x)$ is irreducible in $k(\alpha)[X]$.
120147
For what prime numbers $p$ is $x^2+x+1$ irreducible in $\mathbb{F}_p[X]$
140808
Problem on Galois theory and irreducible polynomial
40400
Finding an isomorphism between $\mathbb{Z}[i]/(7)$ and $\mathbb{Z}[\sqrt{-2}]/(7)$
46292
Find all primes $p>2$ for which $x^2+x+1$ is irreducible in $\mathbb{F}_p[x]$