Irreducible polynomial in $\mathbb C[x_1,x_2]$ also irreducible in $\mathbb C[x_1,x_2,...x_r]$?
17670
If $p\in R[X_1,\dots,X_n]$ is irreducible, is it still irreducible in $R[X_1,\dots,X_n,\dots,X_N]$?
25471
Irreducibility of $x^n-x-1$ over $\mathbb Q$
10885
Existence of irreducible polynomials over finite field
76640
Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
60816
Irreducibility of special cyclotomic polynomial.
146887
Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
16035
Irreducibility of $X^{p-1} + \cdots + X+1$
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
250
An irreducible $f\in \mathbb{Z}[x]$, whose image in every $(\mathbb{Z}/p\mathbb{Z})[x]$ has a root?
73344
Definition of irreducible polynomial via the units of an integral domain.
35959
irreducibility of a polynomial over $\mathbb{F}_2$
85459
$x^3+x+1$ irreducible over $\mathbb{F}_2$, $\theta$ root, compute powers of $\theta$
134701
Polynomials irreducible over $\mathbb{Q}$ but reducible over $\mathbb{F}_p$ for every prime $p$
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
4000
If every polynomial of degree 2 is reducible then $K$ is algebraically closed?
84189
Is $\mathbb{C}$ equal to $\mathbb{R}^2$?
147047
Does there exist a polynomial $p(x) \in \mathbb C[x]$ such that $p(x) \notin \mathbb R[x]$ and $p(x)p(-x)=p(x^2)$?