New posts in Irreducible Polynomials

Field with $125$ elements

When is $X_1^{a_1} \cdots X_n^{a_n}-1$ irreducible?

Prove that $f(x)$ is irreducible iff its reciprocal polynomial $f^*(x)$ is irreducible.

$R = \mathbb{Z}[\sqrt{-41}]$, show that 3 is irreducible but not prime in $R$

Show $x-1$ is irreducible in $\mathbb{Z}_8[x]$

Is there a way to find one irreducible polynomial of degree n in the field Z2

How to factor $x^6+x^5-3\,x^4+2\,x^3+3\,x^2+x-1$ by hand?

Irreducibility of $f(x)=x^4+3x^3-9x^2+7x+27$

Is $x^4+2x^2-8m^2x+1$ irreducible over $\mathbb{Q}$?

How can I prove irreducibility of polynomial over a finite field?