$x^{q^n}-x$ is a product of all monic irreducible polynomial in $\mathbb{F}_q[x]$ of degree dividing $n$?
8164
Product of all monic irreducibles with degree dividing $n$ in $\mathbb{F}_{q}$?
48260
If $R=K[X]/(X^n)$, can represent any element as polynomial with degree $<n$
112427
Irreducibility of $p(x)=x^4-4x^2+8x+2$ over $\mathbb{Q}(\sqrt{-2})$- Dummit Foote Abstract algebra $9.4.10$
54192
Why $x^{p^n}-x+1$ is irreducible in ${\mathbb{F}_p}$ only when $n=1$ or $n=p=2$
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
109610
Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
82262
minimal polynomial of nth root of 2 over $\mathbb Q$
148909
Irreducible polynomials of degree 3 and 5
45302
Finding the $\mathbb{Q}$-automorphisms of the splitting field of $x^p-2$ over $\mathbb{Q}$.
48873
Let $K$ be a field and $f(x)\in K[X]$ be a polynomial of degree $n$. And let $F$ be its splitting field. Show that $[F:K]$ divides $n!$.
103238
Conjugates of ${\sqrt 5 + \sqrt 6 }$ over $\mathbb{Q}$ and irreducibility of $x^4 -22x^2+1$ (for minimal polynomial)
2043
$X^n-Y^m$ is irreducible in $\Bbb{C}[X,Y]$ iff $\gcd(n,m)=1$
137669
$P$ is a monic polynomial of degree $n$ , then which are correct?
14918
Degree of splitting field of $X^n-1$ over some finite field
44878
Factor $x^5+x^2+1$ into irreducible polynomials in $Z[x]$
77620
Irreducible polynomials over $\mathbb Q$ and $\mathbb Z $