Is my proof of irreducibility of ${(x - a_1)}^2{(x - a_2)}^2 \; \cdots \; {(x - a_n)}^2 + 1$ over $\mathbb{Z}$ correct?
29545
$[(x-a_1)(x-a_2) \cdots (x-a_n)]^2 +1$ is irreducible over $\mathbb Q$
19968
Describe all $p^{n}$ (in terms of congruence conditions of $p$ and $n$) for which $x^{2}+1$ irreducible over $\mathbb{F}_{p^{n}}$.
46891
Irreducibility of reciprocal polynomials
115782
Proof $\mathbb{A}^n$ is irreducible, without Nullstellensatz
77209
Reducibility of $x^3+nx+1$ over $ \Bbb Z$
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
76696
Using induction to prove $2^{n-1}(1 + a_1a_2\ldots a_n) \geq (1+a_1)(1+a_2)\ldots(1+a_n)$ for $a_i \geq 1$
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
111515
Proving that $-a=(-1)\cdot a$
134726
Show the polynomial is irreducible in $\textbf Z_2$
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension
40994
How to check that a cubic polynomial is irreducible?
56311
Proving $(1+a_{2})^{2}(1+a_{3})^{3}\cdots(1+a_{n})^{n}\ge n^n$ for positive reals $a_2,\ldots, a_n$ whose product is $1$
17670
If $p\in R[X_1,\dots,X_n]$ is irreducible, is it still irreducible in $R[X_1,\dots,X_n,\dots,X_N]$?
70523
Proving that $x^4 - 10x^2 + 1$ is not irreducible over $\mathbb{Z}_p$ for any prime $p$.
33903
Prove that $(1+a_1) \cdot (1+a_2) \cdot \dots \cdot (1+a_n) \geq 2^n$
64878
Is this polynomial irreducible in $\mathbb{Q}$?