Newbetuts

For which monic irreducible $f(x)\in \mathbb Z[x]$ , is $f(x^2)$ also irreducible in $\mathbb Z[x]$?

$x^n - a$ is irreducible over $\mathbb{Q}$?

Irreducibility of cyclotomic polynomials over number fields

What are the factors of this quotient given by Fermat's Little Theorem?

Irreducibility test in a number field

Prove that an ideal in $k[x,y]$ is a prime ideal [duplicate]

Minimal polynomials of $\sin(\pi/8)$ and $\cos(\pi/9)$

Does $f(x) \in \mathbb{Z}[x]$ irreducible, imply $f(2x)$ also irreducible?

Why is $y^2-x^3\in \mathbb{C}[x,y]$ irreducible?

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

Is $X$ irreducible in $R[X]$?

$[L:K]=n!\ \Longrightarrow \ f$ is irreducible and $\text{Gal}(L/K)\cong S_n.$

How to prove $X^{4}+X^{3}+X^{2}+X+1$ is irreductible in $\mathbb{F}_{2}$

Factor $X^7 − 1$ into irreducibles in $\mathbb{Z}_{127}[X]$

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

Problem in the "proof" of Eisenstein's criterion on irreducibility.

New posts in irreducible-polynomials

Can every irreducible cubic be proved irreducible using the Eisenstein criterion?

Prove that the given polynomial is irreducible in $\mathbb{Z}[X]$.

Is $x^3+y^3+z^3-1$ irreducible over a field $k$ of characteristic $\neq 3$?

A travelled inequality found by discriminant

For which monic irreducible $f(x)\in \mathbb Z[x]$ , is $f(x^2)$ also irreducible in $\mathbb Z[x]$?

$x^n - a$ is irreducible over $\mathbb{Q}$?

Irreducibility of cyclotomic polynomials over number fields

What are the factors of this quotient given by Fermat's Little Theorem?

Irreducibility test in a number field

Prove that an ideal in $k[x,y]$ is a prime ideal [duplicate]

Minimal polynomials of $\sin(\pi/8)$ and $\cos(\pi/9)$

Does $f(x) \in \mathbb{Z}[x]$ irreducible, imply $f(2x)$ also irreducible?

Why is $y^2-x^3\in \mathbb{C}[x,y]$ irreducible?

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

Is $X$ irreducible in $R[X]$?

$[L:K]=n!\ \Longrightarrow \ f$ is irreducible and $\text{Gal}(L/K)\cong S_n.$

How to prove $X^{4}+X^{3}+X^{2}+X+1$ is irreductible in $\mathbb{F}_{2}$

Factor $X^7 − 1$ into irreducibles in $\mathbb{Z}_{127}[X]$

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

Problem in the "proof" of Eisenstein's criterion on irreducibility.