Irreducibility of the polynomial
60816
Irreducibility of special cyclotomic polynomial.
76017
Prove that $x^3-2$ and $x^3-3$ are irreducible over $\Bbb{Q}(i)$
93196
$x^4 -10x^2 +1 $ is irreducible over $\mathbb Q$
26069
Why is $X^4-16X^2+4$ irreducible in $\mathbb{Q}[X]$?
44878
Factor $x^5+x^2+1$ into irreducible polynomials in $Z[x]$
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
28658
$R$ with an upper bound for degrees of irreducibles in $R[x]$
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
155532
difference between irreducible element and irreducible polynomial
52528
Showing that minimal polynomial has the same irreducible factors as characteristic polynomial
28079
Do these definitions of irreducibility of algebraic sets coincide?
97729
Show that a polynomial $f(x)$ over a field $k$ is irreducible if and only if the polynomial $f(x+1)$ is irreducible
41693
Use irreducible fibers to show $X$ is irreducible
146887
Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
148909
Irreducible polynomials of degree 3 and 5
134701
Polynomials irreducible over $\mathbb{Q}$ but reducible over $\mathbb{F}_p$ for every prime $p$