How do I prove that $X^{p^n}-X$ is the product of all monic irreducible polynomials of degree dividing $n$?
8164
Product of all monic irreducibles with degree dividing $n$ in $\mathbb{F}_{q}$?
154373
How many irreducible monic quadratic polynomials are there in $\mathbb{F}_p[X]$?
27942
showing that $n$th cyclotomic polynomial $\Phi_n(x)$ is irreducible over $\mathbb{Q}$
141983
Complex polynomial of degree $n$
106914
Existence of Irreducible polynomials over $\mathbb{Z}$ of any given degree
38419
Existence of Polynomial with whom product contains only prime powers
46891
Irreducibility of reciprocal polynomials
54875
How to prove polynomials with degree $n$ does not form a vector space?
151961
Irreducibility of $x^{p(p-1)}+x^{p(p-2)}+\cdots+x^p+1$ over $\mathbb Q$
115427
Galois group of $\prod_{i=1}^{p-1} (X^2-i)$
8977
Showing $x^{5}-ax-1\in\mathbb{Z}[x]$ is irreducible
25471
Irreducibility of $x^n-x-1$ over $\mathbb Q$
121404
How to factor polynomials in $\mathbb{Z}_n$?
46951
For what values of $n > 1$ and a is $x^n - a$ irreducible in $\mathbb Q[x]$?
152347
Proof that a certain entire function is a polynomial
76640
Show that the polynomial $x^3-xy^2+y+1$ is irreducible in $\mathbb{Q}[x,y]$
109610
Is $\mathbb{R}[X]/(P)$ isomorphic to $\mathbb C$ for every irreducible polynomial $P$ of degree $2?$