New posts in Irreducible Polynomials

$f(x)=x^n+5x^{n-1}+3$ can't be expressed as the product of two polynomials

An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension

How many irreducible polynomials of degree $n$ exist over $\mathbb{F}_p$?

Irreducibility issue

How do I prove that $x^p-x+a$ is irreducible in a field with $p$ elements when $a\neq 0$?

Irreducible polynomial which is reducible modulo every prime

Number of monic irreducible polynomials of prime degree $p$ over finite fields

Find all irreducible monic polynomials in $\mathbb{Z}/(2)[x]$ with degree equal or less than 5

Motivation for Eisenstein Criterion