The existence of an irreducible factor of degree at least $k$ of a polynomial
37731
An application of Eisenstein's criterion
121714
Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
121658
$x^2+y^2-1$ irreducible in $\mathbb{Q}[x,y]$?
2043
$X^n-Y^m$ is irreducible in $\Bbb{C}[X,Y]$ iff $\gcd(n,m)=1$
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
134701
Polynomials irreducible over $\mathbb{Q}$ but reducible over $\mathbb{F}_p$ for every prime $p$
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
41693
Use irreducible fibers to show $X$ is irreducible
55509
Factor a polynomial over the reals
70537
Irreducible polynomials have distinct roots?
44878
Factor $x^5+x^2+1$ into irreducible polynomials in $Z[x]$
53012
Irreducibility of a polynomial if it has no root (Capelli)
87101
Irreducible but not prime in $K[X,Y]/(X^2-Y^3)$
97028
Find all irreducible monic polynomials in $\mathbb{Z}/(2)[x]$ with degree equal or less than 5
25290
Determine the number of irreducible monic polynomials of degree 3 in $\mathbb F_p[x]$
83036
f(g(x)) has a degree divisible by n
67001
Factorizing polynomials over fields other than $\mathbb{C}$