Irreducibility of $x^p-a \in \Bbb Q[x]$, where $a(>0) \in \Bbb Q $ with $ a^{1/p} \notin \Bbb Q$
18336
$x^p-c$ has no root in a field $F$ if and only if $x^p-c$ is irreducible?
2043
$X^n-Y^m$ is irreducible in $\Bbb{C}[X,Y]$ iff $\gcd(n,m)=1$
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
16035
Irreducibility of $X^{p-1} + \cdots + X+1$
44502
An irreducible polynomial cannot share a root with a polynomial without dividing it
38364
Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
76640
Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
121658
$x^2+y^2-1$ irreducible in $\mathbb{Q}[x,y]$?
54192
Why $x^{p^n}-x+1$ is irreducible in ${\mathbb{F}_p}$ only when $n=1$ or $n=p=2$
119152
Proving irreducibility of $x^6-72$
35959
irreducibility of a polynomial over $\mathbb{F}_2$
156671
Necessary and sufficient condition for $x^n - y^m$ to be irreducible in $\Bbb C[x,y]$
70523
Proving that $x^4 - 10x^2 + 1$ is not irreducible over $\mathbb{Z}_p$ for any prime $p$.
74224
On irreducible factors of $x^{2^n}+x+1$ in $\mathbb Z_2[x]$
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
28658
$R$ with an upper bound for degrees of irreducibles in $R[x]$