On the reducibility of $x^4+ a$ over the rationals
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
16035
Irreducibility of $X^{p-1} + \cdots + X+1$
76017
Prove that $x^3-2$ and $x^3-3$ are irreducible over $\Bbb{Q}(i)$
70523
Proving that $x^4 - 10x^2 + 1$ is not irreducible over $\mathbb{Z}_p$ for any prime $p$.
7858
Proving that $f(x)$ is irreducible over $F(b)$ if and only if $g(x)$ is irreducible over $F(a)$
148310
Showing rational numbers are algebraic
70249
Irreducibility of Polynomials in $k[x,y]$
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $
134701
Polynomials irreducible over $\mathbb{Q}$ but reducible over $\mathbb{F}_p$ for every prime $p$
77209
Reducibility of $x^3+nx+1$ over $ \Bbb Z$
117132
Rationals of the form $\frac{p}{q}$ where $p,q$ are primes in $[a,b]$
146887
Prove that $f=x^4-4x^2+16\in\mathbb{Q}$ is irreducible
19884
The units of $\mathbb Z_4[x]$
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension
158182
Let $R = \mathbb{Z} + x\mathbb{Q}[x]$. Find all the irreducibles in $R$.
102422
Irreducibly of $x^5-x-1$ over $\mathbb{F}_3$
82824
Affine algebraic subset of $\mathbb{A}_k^4$