Show that $x^3 + 3x+2$ is irreducible in $\mathbb{Z}[5]$
47148
Complete balanced (signed) residue System of an odd modulo m
26069
Why is $X^4-16X^2+4$ irreducible in $\mathbb{Q}[X]$?
105442
Show that any prime divisor of $x^4+x^3+x^2+x+1$, with $x\in\mathbb{N}$, is $5$ or $1$ mod $5$
93196
$x^4 -10x^2 +1 $ is irreducible over $\mathbb Q$
35216
Prove $\mathbb{Q}(\sqrt{2},\sqrt{3},\sqrt{5}):\mathbb{Q}$ is a simple extension
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
77209
Reducibility of $x^3+nx+1$ over $ \Bbb Z$
116856
Proving that a polynomial of the form $(x-a_1)\cdots(x-a_n) + 1$ is irreducible over $\mathbb{Q}$
102422
Irreducibly of $x^5-x-1$ over $\mathbb{F}_3$
35959
irreducibility of a polynomial over $\mathbb{F}_2$
129521
Is $\sqrt[3]{5}$ in $\mathbb Q(\sqrt[3]{2})$?
16035
Irreducibility of $X^{p-1} + \cdots + X+1$
51952
Show that $x^{n-1}+\cdots +x+1$ is irreducible over $\mathbb Z$ if and only if $n$ is a prime.
24626
Irreducibility of $X^n - 2$ over $\mathbf Z[i]$.
93291
Method for determining irreducibles and factorising in $\mathbb Z[\sqrt{d}]$
120940
An irreducible polynomial in a subfield of $\mathbb{C}$ has no multiple roots in $\mathbb{C}$