Determine all monic irreducible polynomials of degree $4$ in $\mathbb{Z_2[x]}$
97028
Find all irreducible monic polynomials in $\mathbb{Z}/(2)[x]$ with degree equal or less than 5
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
146990
How to find the number of automorphisms on $\mathbb Z_2\times \mathbb Z_4$
96087
Let $\mathbb{F}_2 \cong \mathbb{Z}/2\mathbb{Z}$. Is $x^4+x^2+1$ irreducible in $\mathbb{F}_2[x]$?
134701
Polynomials irreducible over $\mathbb{Q}$ but reducible over $\mathbb{F}_p$ for every prime $p$
63605
Irreducible polynomials and affine variety
146887
Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
85459
$x^3+x+1$ irreducible over $\mathbb{F}_2$, $\theta$ root, compute powers of $\theta$
38364
Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
126402
How to factor a fourth degree polynomial
74224
On irreducible factors of $x^{2^n}+x+1$ in $\mathbb Z_2[x]$
112371
Computing irreducible components of algebraic set
114295
Find all the middle fields of the splitting field of $x^4-2$ over $\mathbb{Q}$
134726
Show the polynomial is irreducible in $\textbf Z_2$
12166
How many irreducible polynomials of degree $n$ exist over $\mathbb{F}_p$?
26069
Why is $X^4-16X^2+4$ irreducible in $\mathbb{Q}[X]$?
155962
Are there irreducible polynomials that are partially solvable by radicals?