Prve that $x^4+x^2+x+1$ is irreducible over $\mathbb{Q}$.
64878
Is this polynomial irreducible in $\mathbb{Q}$?
91356
Irreducibility of an infinite sequence of polynomials
90612
Show that $9+9x+3x^3+6x^4+3x^5+x^6$ is irreducible given one of its roots
51952
Show that $x^{n-1}+\cdots +x+1$ is irreducible over $\mathbb Z$ if and only if $n$ is a prime.
156671
Necessary and sufficient condition for $x^n - y^m$ to be irreducible in $\Bbb C[x,y]$
28079
Do these definitions of irreducibility of algebraic sets coincide?
84355
Methods to see if a polynomial is irreducible
112427
Irreducibility of $p(x)=x^4-4x^2+8x+2$ over $\mathbb{Q}(\sqrt{-2})$- Dummit Foote Abstract algebra $9.4.10$
35959
irreducibility of a polynomial over $\mathbb{F}_2$
32054
How To Prove That The Rijndael Polynomial Is Irreducible?
16592
Irreducible polynomial which is reducible modulo every prime
53012
Irreducibility of a polynomial if it has no root (Capelli)
48093
Irreducible polynomial in field extension
74224
On irreducible factors of $x^{2^n}+x+1$ in $\mathbb Z_2[x]$
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
70523
Proving that $x^4 - 10x^2 + 1$ is not irreducible over $\mathbb{Z}_p$ for any prime $p$.
134726
Show the polynomial is irreducible in $\textbf Z_2$