Question

Reducibility of polynomial in rational field

score 45 · Answer 1 · 2017-10-10 05:44:34

45

Views

Reducibility of polynomial in rational field

Published on 10 Oct 2017 - 5:44

score 151 · Answer 2 · 2017-10-11 14:59:00

151

Views

How could I use Eisenstein's Criterion to determine irreducibility of $x^{12} + 1$ over $\mathbb{Q}$?

Published on 11 Oct 2017 - 14:59

score 240 · Answer 3 · 2026-03-28 00:30:26

240

Views

Polynomial with coefficients 'sufficiently close' to irreducible polynomial is irreducible

Published on 28 Mar 2026 - 0:30

score 136 · Answer 4 · 2017-10-16 07:30:03

136

Views

Construct a cubic polynomial that is irreducible over $\mathbb{Z}_{5}$

Published on 16 Oct 2017 - 7:30

score 455 · Answer 5 · 2026-04-02 18:39:53

455

Views

How to find the roots for $x^3+2x+2$

Published on 02 Apr 2026 - 18:39

score 183 · Answer 6 · 2026-03-28 13:42:21

183

Views

Prove that there are infinitely many values of $α$ for which $f(x)= x^{7} +15x^{2} − 30x + α$ is irreducible in Q[x]

Published on 28 Mar 2026 - 13:42

score 72 · Answer 7 · 2017-10-20 10:57:58

72

Views

Irreducible polynomials of two algebraic elements of a field

Published on 20 Oct 2017 - 10:57

score 73 · Answer 8 · 2017-10-21 11:32:59

73

Views

Polynomial sum: $x^n+x^{n-1}y+x^{n-2}y^2+x^{n-3}y^3+\dots+xy^{n-1}+y^n$

Published on 21 Oct 2017 - 11:32

score 41 · Answer 9 · 2017-10-22 14:35:19

41

Views

Irreducibility of a mulativariate polynomial after perturbation of constant

Published on 22 Oct 2017 - 14:35

score 48 · Answer 10 · 2026-03-28 12:02:42

48

Views

Showing $(q(X),q'(X)) = F[X]$

Published on 28 Mar 2026 - 12:02

score 1.1k · Answer 11 · 2017-10-23 18:43:54

1.1k

Views

Let $F$ be a finite field. If $f, g \in F[x]$ are irreducible polynomials of the same degree, show that they have the same splitting field.

Published on 23 Oct 2017 - 18:43

score 60 · Answer 12 · 2017-10-25 23:57:11

60

Views

Is $X^4+X^3+X+1$ reducible?

Published on 25 Oct 2017 - 23:57

score 1.7k · Answer 13 · 2017-10-27 02:53:27

1.7k

Views

difference between irreducible element and irreducible polynomial

Published on 27 Oct 2017 - 2:53

score 82 · Answer 14 · 2017-10-30 09:19:07

82

Views

How to find the minimal polynomial of a polynomial over a finite field

Published on 30 Oct 2017 - 9:19

score 87 · Answer 15 · 2017-10-31 14:54:13

87

Views

Prove that $ f(X)=X^{p^{n}}+p-1 $ is irreducible in $ \Bbb{Z}[X] $- a reduction approach?

Published on 31 Oct 2017 - 14:54

List Question

Reducibility of polynomial in rational field

How could I use Eisenstein's Criterion to determine irreducibility of $x^{12} + 1$ over $\mathbb{Q}$?

Polynomial with coefficients 'sufficiently close' to irreducible polynomial is irreducible

Construct a cubic polynomial that is irreducible over $\mathbb{Z}_{5}$

How to find the roots for $x^3+2x+2$

Prove that there are infinitely many values of $α$ for which $f(x)= x^{7} +15x^{2} − 30x + α$ is irreducible in Q[x]

Irreducible polynomials of two algebraic elements of a field

Polynomial sum: $x^n+x^{n-1}y+x^{n-2}y^2+x^{n-3}y^3+\dots+xy^{n-1}+y^n$

Irreducibility of a mulativariate polynomial after perturbation of constant

Showing $(q(X),q'(X)) = F[X]$

Let $F$ be a finite field. If $f, g \in F[x]$ are irreducible polynomials of the same degree, show that they have the same splitting field.

Is $X^4+X^3+X+1$ reducible?

difference between irreducible element and irreducible polynomial

How to find the minimal polynomial of a polynomial over a finite field

Prove that $ f(X)=X^{p^{n}}+p-1 $ is irreducible in $ \Bbb{Z}[X] $- a reduction approach?

Trending Questions

Popular # Hahtags

Popular Questions