New posts in irreducible-polynomials

Irreducibility of $X^n - 2$ over $\mathbf Z[i]$.

number-theory irreducible-polynomials

Proof that $x^4+1$ is irreducible over $\mathbb{Q}$

abstract-algebra polynomials irreducible-polynomials

Prove the irreducibility of $P(x)$ which satisfies: $xP(x-1)=(x-2022)P(x)+2022$

abstract-algebra polynomials irreducible-polynomials

Prove that the polynomial $x^5+2x+1$ is irreducible over $\mathbb{Z}$.

abstract-algebra polynomials irreducible-polynomials

Irreducibility of Multivariable Polynomials

abstract-algebra polynomials irreducible-polynomials

$x^4+x^3+x^2+x+1$ irreducible over $\mathbb F_7$

abstract-algebra polynomials field-theory finite-fields irreducible-polynomials

Is $x^4+4$ an irreducible polynomial?

polynomials factoring irreducible-polynomials

How to prove that the polynomial $x^2 + x + 1$ is irreducible over $\mathbb Q(\sqrt[3]{2})$?

abstract-algebra field-theory extension-field irreducible-polynomials

Only five solvable quintic equations of the form $x^5+ax^2+b=0$? What are their solutions?

abstract-algebra polynomials roots irreducible-polynomials

Is a polynomial $y^n+y^{n-1}-x^m-x^{m-1}$ irreducible in $\Bbb Z[x,y]$?

polynomials irreducible-polynomials unique-factorization-domains

Does the sequence $f_1=x^2+1$ , $f_{n+1}=(f_n)^2+1$ contain only irreducible polynomials?

sequences-and-series polynomials dynamical-systems irreducible-polynomials

Can two monic irreducible polynomials over $\mathbb{Z}$, of coprime degrees, have the same splitting field?

group-theory polynomials galois-theory algebraic-number-theory irreducible-polynomials

Perron polynomial irreducibility criterion

polynomials ring-theory irreducible-polynomials

Reducibility of $x^{2n} + x^{2n-2} + \cdots + x^{2} + 1$

algebra-precalculus polynomials factoring irreducible-polynomials experimental-mathematics

Eisenstein Criterion Shift Conditions

abstract-algebra irreducible-polynomials

If quadratic or cubic polynomial $f$ has no roots, then $f$ is irreducible.

abstract-algebra field-theory irreducible-polynomials

How to factor polynomials in $\mathbb{Z}_n$?

abstract-algebra polynomials factoring irreducible-polynomials

Using Eisenstein criterion show that $x^3+x^2-2x-1$ is irreducible? [duplicate]

abstract-algebra polynomials irreducible-polynomials

Proving $1+x+\cdots +x^{p-2}+x^{p-1}$ is irreducible for prime $p$ [duplicate]

polynomials irreducible-polynomials

Small question about Gauss's lemma (polynomial)

abstract-algebra polynomials proof-explanation irreducible-polynomials