Irreducibility of polynomial $x^k-x^{k-1}-\ldots-x-1$
91356
Irreducibility of an infinite sequence of polynomials
48093
Irreducible polynomial in field extension
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
102422
Irreducibly of $x^5-x-1$ over $\mathbb{F}_3$
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
104782
Polynomial irreducible - maximal ideal
41693
Use irreducible fibers to show $X$ is irreducible
35959
irreducibility of a polynomial over $\mathbb{F}_2$
76640
Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
53012
Irreducibility of a polynomial if it has no root (Capelli)
81377
Show that $x^n + x + 3$ is irreducible for all $n \geq 2.$
54192
Why $x^{p^n}-x+1$ is irreducible in ${\mathbb{F}_p}$ only when $n=1$ or $n=p=2$
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
16592
Irreducible polynomial which is reducible modulo every prime
51952
Show that $x^{n-1}+\cdots +x+1$ is irreducible over $\mathbb Z$ if and only if $n$ is a prime.
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
52528
Showing that minimal polynomial has the same irreducible factors as characteristic polynomial