List questions from irreducible-polynomials

Published on 20 Apr 2019 - 14:51

91

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Show some polynomial satisfies Eisenstein's Criterion

Published on 20 Apr 2019 - 22:26

117

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$y^2z - x^3$ is irreducible and with one singularity

Published on 26 Apr 2019 - 11:28

77

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Irreducibility of $2x^3-3x^2+6$ in $\mathbb Q[x]$

Published on 30 Apr 2019 - 9:40

156

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Irreducible polynomial with root implies least degree

Published on 03 May 2019 - 5:18

228

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The real positive root of $9x^5+7x^2-9=0$

Published on 04 May 2019 - 18:06

70

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Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible

Published on 05 May 2019 - 15:53

344

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Show that the polynomial $7X^5 + 71X^3 - 9$ is irreducible in $\mathbb{Z}[X]$

Published on 05 May 2019 - 17:19

306

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Irreducible Polynomial Field Extensions with Root $\cos \frac{2\pi}{7}$

Published on 06 May 2019 - 5:06

46

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How do I show that $y^2 - x(x-1)(x+1)$ is irreducible in $\mathbb{R}[x, y]$?

Published on 06 May 2019 - 5:13

110

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How to prove irreducibility of this polynomial?

Published on 06 May 2019 - 15:05

2.9k

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Prove that $x^2 − 2$ is irreducible over $\mathbb Q (\sqrt 3)$

Published on 06 May 2019 - 21:51

675

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Family of irreducible polynomials

Published on 08 May 2019 - 10:31

638

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when is the $n$-th cyclotomic polynomial irreducible over $\mathbb{R}$

Published on 26 Mar 2026 - 1:03

332

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How to show a polynomial is reducible/irreducible in a ring

Published on 10 May 2019 - 17:38

List Question

Irreducibility of polynomials over some quadratic fields

Show some polynomial satisfies Eisenstein's Criterion

$y^2z - x^3$ is irreducible and with one singularity

Irreducibility of $2x^3-3x^2+6$ in $\mathbb Q[x]$

Irreducible polynomial with root implies least degree

The real positive root of $9x^5+7x^2-9=0$

Show that the polynomial $X^5 + X^3 + \bar{1}$ in $(\mathbb{Z}/2\mathbb{Z}[X])$ is irreducible

Show that the polynomial $7X^5 + 71X^3 - 9$ is irreducible in $\mathbb{Z}[X]$

Irreducible Polynomial Field Extensions with Root $\cos \frac{2\pi}{7}$

How do I show that $y^2 - x(x-1)(x+1)$ is irreducible in $\mathbb{R}[x, y]$?

How to prove irreducibility of this polynomial?

Prove that $x^2 − 2$ is irreducible over $\mathbb Q (\sqrt 3)$

Family of irreducible polynomials

when is the $n$-th cyclotomic polynomial irreducible over $\mathbb{R}$

How to show a polynomial is reducible/irreducible in a ring

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