Is $x^4+x^2+1$ an irreducible polynomial over $\Bbb Z/2\Bbb Z$?
96087
Let $\mathbb{F}_2 \cong \mathbb{Z}/2\mathbb{Z}$. Is $x^4+x^2+1$ irreducible in $\mathbb{F}_2[x]$?
74224
On irreducible factors of $x^{2^n}+x+1$ in $\mathbb Z_2[x]$
112427
Irreducibility of $p(x)=x^4-4x^2+8x+2$ over $\mathbb{Q}(\sqrt{-2})$- Dummit Foote Abstract algebra $9.4.10$
10821
Using Eisenstein criterion show that $x^3+x^2-2x-1$ is irreducible?
10885
Existence of irreducible polynomials over finite field
46891
Irreducibility of reciprocal polynomials
134088
How to factorize $x^4+2x^2+4$ to a product of polynomials with real coefficients?
29545
$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$
121714
Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
118950
Irreducibility criteria for polynomials with several variables.
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
16592
Irreducible polynomial which is reducible modulo every prime
121479
Why is $X^4+1$ reducible over $\mathbb F_p$ with $p \geq 3,$ prime
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
8977
Showing $x^{5}-ax-1\in\mathbb{Z}[x]$ is irreducible
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
119878
"Standard" ways of telling if an irreducible quartic polynomial has Galois group C_4?