New posts in Irreducible Polynomials

Showing that minimal polynomial has the same irreducible factors as characteristic polynomial

Polynomial irreducible - maximal ideal

$x^p-x+a$ irreducible for nonzero $a\in K$ a field of characteristic $p$ prime

Minimal polynomial of $\sqrt{2}+\sqrt[3]{3}$.

Computing basis of a field extension

Show that $x^4 + 8$ is irreducible over Z

$X^n-Y^m$ is irreducible in $\Bbb{C}[X,Y]$ iff $\gcd(n,m)=1$

Transcendental extension, rational functions and field tower

Is it true that if $f(x)$ has a linear factor over $\mathbb{F}_p$ for every prime $p$, then $f(x)$ is reducible over $\mathbb{Q}$?

How many irreducible monic quadratic polynomials are there in $\mathbb{F}_p[X]$?