Question

Checking Irreducibility to a Polynomial with Non-constant Degree over Integer

score 223 · Answer 1 · 2023-04-30 11:10:43

223

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Checking Irreducibility to a Polynomial with Non-constant Degree over Integer

Published on 30 Apr 2023 - 11:10

score 95 · Answer 2 · 2023-04-30 17:03:26

95

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Determine the galois group of this 6 degree polynomial over $\mathbb{Q}$

Published on 30 Apr 2023 - 17:03

score 127 · Answer 3 · 2023-05-01 03:59:27

127

Views

Reducibility of $f \in \mathbb{Q}(\alpha)[x]$ for $[\mathbb{Q}(\alpha):\mathbb{Q}] \geq 2$ and $f \in \mathbb{Q}[x]$ Irreducible?

Published on 01 May 2023 - 3:59

score 150 · Answer 4 · 2023-05-01 16:33:09

150

Views

If $x_2=a x_1$ for $a \in \mathbb{Q}$ different from -1 ,where $x_1,x_2$ are roots of $f(x) \in \mathbb{Q}[x]$, prove that $f(x)$ is reducible.

Published on 01 May 2023 - 16:33

score 62 · Answer 5 · 2026-03-25 09:25:30

62

Views

Characterization of irreducible multivariate polynomials over the complex numbers

Published on 25 Mar 2026 - 9:25

score 186 · Answer 6 · 2023-05-04 10:25:00

186

Views

Prove $X^4-5X^3+3X-2$ is irreducible over the rationals.

Published on 04 May 2023 - 10:25

score 56 · Answer 7 · 2026-03-25 09:33:14

56

Views

Is there a general formula for factorizing multivariate complex polynomials?

Published on 25 Mar 2026 - 9:33

score 71 · Answer 8 · 2023-05-04 23:40:52

71

Views

Question on Gauss’s Lemma of Irreducibility

Published on 04 May 2023 - 23:40

score 67 · Answer 9 · 2023-05-05 20:25:51

67

Views

Difficulty in understand polynomial in several variables

Published on 05 May 2023 - 20:25

score 138 · Answer 10 · 2026-03-25 10:24:08

138

Views

Does imply f and g are relatively prime in K[x], that f- yg is irreducible in K(y)[x]?

Published on 25 Mar 2026 - 10:24

score 81 · Answer 11 · 2026-03-27 10:07:40

81

Views

Algorithm to check whether rational polynomial is irreducible over $\mathbb{C}$?

Published on 27 Mar 2026 - 10:07

score 114 · Answer 12 · 2026-04-02 07:08:23

114

Views

Irrational root of polynomial problem (Putnam 1976/A4)

Published on 02 Apr 2026 - 7:08

score 122 · Answer 13 · 2026-02-23 08:34:00

122

Views

Example of a field on which every irreducible polynomial has degree a power of $p$

Published on 23 Feb 2026 - 8:34

score 156 · Answer 14 · 2026-03-26 14:19:21

156

Views

Using cyclotomic polynomials to show a polynomial is irreducible over $\mathbb{Q}$

Published on 26 Mar 2026 - 14:19

score 65 · Answer 15 · 2023-05-19 22:32:40

65

Views

Number of cycles of doubling map mod n

Published on 19 May 2023 - 22:32

List Question

Checking Irreducibility to a Polynomial with Non-constant Degree over Integer

Determine the galois group of this 6 degree polynomial over $\mathbb{Q}$

Reducibility of $f \in \mathbb{Q}(\alpha)[x]$ for $[\mathbb{Q}(\alpha):\mathbb{Q}] \geq 2$ and $f \in \mathbb{Q}[x]$ Irreducible?

If $x_2=a x_1$ for $a \in \mathbb{Q}$ different from -1 ,where $x_1,x_2$ are roots of $f(x) \in \mathbb{Q}[x]$, prove that $f(x)$ is reducible.

Characterization of irreducible multivariate polynomials over the complex numbers

Prove $X^4-5X^3+3X-2$ is irreducible over the rationals.

Is there a general formula for factorizing multivariate complex polynomials?

Question on Gauss’s Lemma of Irreducibility

Difficulty in understand polynomial in several variables

Does imply f and g are relatively prime in K[x], that f- yg is irreducible in K(y)[x]?

Algorithm to check whether rational polynomial is irreducible over $\mathbb{C}$?

Irrational root of polynomial problem (Putnam 1976/A4)

Example of a field on which every irreducible polynomial has degree a power of $p$

Using cyclotomic polynomials to show a polynomial is irreducible over $\mathbb{Q}$

Number of cycles of doubling map mod n

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