Using Eisenstein criterion show that $x^3+x^2-2x-1$ is irreducible?
68995
Eisenstein's Criterion stronger version
40994
How to check that a cubic polynomial is irreducible?
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
132572
Why this polynomial is irreducible?
46891
Irreducibility of reciprocal polynomials
31215
Irreducible cyclotomic polynomial
121301
What are the roots of an irreducible $p\in F[X]$ in the field extension $F[X]/\langle p\rangle$?
78143
Proving $\mathbb{F}_p/\langle f(x)\rangle$ with $f(x)$ irreducible of degree $n$ is a field with $p^n$ elements
44878
Factor $x^5+x^2+1$ into irreducible polynomials in $Z[x]$
24626
Irreducibility of $X^n - 2$ over $\mathbf Z[i]$.
108385
Irreducible factors of $x^8 - x$ in $Z/2Z[x]$
53012
Irreducibility of a polynomial if it has no root (Capelli)
121658
$x^2+y^2-1$ irreducible in $\mathbb{Q}[x,y]$?
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
90144
Show that if $a+bi$ is irreducible over $\mathbb{Z} [i]$ then $a^2 + b^2$ is prime over $\mathbb{Z} $
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
18336
$x^p-c$ has no root in a field $F$ if and only if $x^p-c$ is irreducible?