List questions from irreducible-polynomials

Published on 26 Nov 2018 - 20:28

615

Views

Unit in an Integral Domain $R$ implying a polynomial is irreducible in $R[X]$

Published on 29 Nov 2018 - 8:01

1.2k

Views

$x^3-2x-2$ is irreducible over $\mathbb{Q}$

Published on 29 Nov 2018 - 23:47

161

Views

Can I use Eisenstein's criterion to show $x^{4}-2x^{3}+2x^{2}+x+4$ is reducible over $\mathbb{Q}$?

Published on 01 Dec 2018 - 20:06

616

Views

Compute the irreducible polynomials over Q for $a=\sqrt{2}+\sqrt{5}$ and $b=\sqrt[3]{2}+\sqrt{5}$

Published on 02 Dec 2018 - 2:36

51

Views

Fast modular composition and irreducibility testing

Published on 17 Mar 2026 - 6:34

26

Views

Well definedness of multiplicity of a polynomial.

Published on 03 Dec 2018 - 22:50

90

Views

What is the inverse of X modulo $1 + X + X^2 + X^3 + X^4$?

Published on 04 Dec 2018 - 9:23

135

Views

Proving an isomorphism between field extensions

Published on 05 Dec 2018 - 20:20

640

Views

Check if $x^4+4x^3+6x^2+2x+1$ is irreducible over $\mathbb Q[x]$

Published on 06 Dec 2018 - 3:30

413

Views

Show that $f(x,y,z)=x^2-y^2z$ is irreducible in $\mathbb{C}[x,y,z]$.

Published on 25 Mar 2026 - 4:43

157

Views

factors of $X^{p^n}-X$

Published on 06 Dec 2018 - 16:55

1k

Views

Let $f(x)$ be irreducible in $F[x]$, where $F$ is a field. If $f(x) | p(x)q(x)$, prove that either $f(x) | p(x)$ or $f(x) | q(x)$.

Published on 06 Dec 2018 - 23:40

152

Views

What does $φ(a) = a$ mean in this statement?

Published on 25 Mar 2026 - 20:41

75

Views

Question about constructing fields

Published on 10 Dec 2018 - 19:05

List Question

Abelian Galois group of even order

Unit in an Integral Domain $R$ implying a polynomial is irreducible in $R[X]$

$x^3-2x-2$ is irreducible over $\mathbb{Q}$

Can I use Eisenstein's criterion to show $x^{4}-2x^{3}+2x^{2}+x+4$ is reducible over $\mathbb{Q}$?

Compute the irreducible polynomials over Q for $a=\sqrt{2}+\sqrt{5}$ and $b=\sqrt[3]{2}+\sqrt{5}$

Fast modular composition and irreducibility testing

Well definedness of multiplicity of a polynomial.

What is the inverse of X modulo $1 + X + X^2 + X^3 + X^4$?

Proving an isomorphism between field extensions

Check if $x^4+4x^3+6x^2+2x+1$ is irreducible over $\mathbb Q[x]$

Show that $f(x,y,z)=x^2-y^2z$ is irreducible in $\mathbb{C}[x,y,z]$.

factors of $X^{p^n}-X$

Let $f(x)$ be irreducible in $F[x]$, where $F$ is a field. If $f(x) | p(x)q(x)$, prove that either $f(x) | p(x)$ or $f(x) | q(x)$.

What does $φ(a) = a$ mean in this statement?

Question about constructing fields

Trending Questions

Popular # Hahtags

Popular Questions