Show that the polynomial $7X^5 + 71X^3 - 9$ is irreducible in $\mathbb{Z}[X]$
121714
Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible
112427
Irreducibility of $p(x)=x^4-4x^2+8x+2$ over $\mathbb{Q}(\sqrt{-2})$- Dummit Foote Abstract algebra $9.4.10$
44878
Factor $x^5+x^2+1$ into irreducible polynomials in $Z[x]$
16035
Irreducibility of $X^{p-1} + \cdots + X+1$
70581
Is $x^3+y^3+z^3-1$ irreducible over a field $k$ of characteristic $\neq 3$?
93291
Method for determining irreducibles and factorising in $\mathbb Z[\sqrt{d}]$
124460
Show that if $f \in \mathbb{C} \left[x_1, \dots, x_n \right]$ vanishes at every point of $\mathbb{Z}^n$, then $f$ is the zero polynomial.
16592
Irreducible polynomial which is reducible modulo every prime
53669
Prove that the polynomial $(x-1)(x-2)\cdots(x-n) + 1$, $ n\ge1 $, $ n\ne4 $ is irreducible over $\mathbb Z$
86038
Family of irreducible polynomials
60816
Irreducibility of special cyclotomic polynomial.
132665
Show $p(X)$ (over a field) is irreducible iff $p(X+a)$ is irreducible
38364
Showing that $x^n -2$ is irreducible in $\mathbb{Q}[X]$
109860
Is the number $7$ a polynomial expression.
80188
There are infinitely many irreducible polynomials in $\Bbb{F}_p[X]$
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
138275
Show $100+t$ is reducible in $\mathbb{Z}[[t]]$