Is residue class of $x$ irreducible in $\mathbb{R}[x,y]/(x^2+y^2-1)$?
114198
Showing that $y$ is irreducible in $\mathbb R[x,y]/(x^2+y^2-1)$.
154845
Irreducible elements in  $\mathbb{Z}[\sqrt{-2}]$ and is it a Euclidean domain?
10821
Using Eisenstein criterion show that $x^3+x^2-2x-1$ is irreducible?
20790
What are irreducibles in the ring $R$ of entire functions?
250
An irreducible $f\in \mathbb{Z}[x]$, whose image in every $(\mathbb{Z}/p\mathbb{Z})[x]$ has a root?
146887
Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
53012
Irreducibility of a polynomial if it has no root (Capelli)
48093
Irreducible polynomial in field extension
63427
A Problem with Residue Theorem
35959
irreducibility of a polynomial over $\mathbb{F}_2$
68635
When is $2$ a quadratic residue mod $p$?
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
87101
Irreducible but not prime in $K[X,Y]/(X^2-Y^3)$
140550
Irreducible element iff prime norm in Gaussian integers?
25471
Irreducibility of $x^n-x-1$ over $\mathbb Q$
73997
$x^{p-1} + ... + x^2 + x + 1$ is irreducible using Eisenstein's criterion?
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $