List questions from irreducible-polynomials

Published on 08 Feb 2019 - 17:54

948

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$x^3 - 3x - 1$ irreducible in $\mathbb Z[x]$ by Gauss Lemma

Published on 09 Feb 2019 - 8:22

60

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Irreducibility of the following Polynomial over $\mathbb{Q}$

Published on 10 Feb 2019 - 21:16

172

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Irreducible polynomial in $\mathbb C[x_1,x_2]$ also irreducible in $\mathbb C[x_1,x_2,...x_r]$?

Published on 11 Feb 2019 - 13:44

97

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Decide if f(X) is irreducible in the following rings

Published on 11 Feb 2019 - 19:29

306

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The multiplicity of a root $r$ of a irreducible polynomial is a power of $p$ characteristic

Published on 23 Feb 2026 - 1:23

149

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A peculiarity of Eisenstein polynomials

Published on 13 Feb 2019 - 7:11

147

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Is $X^8+a \in \mathbb{F}_{49}[x]$ irreducible?

Published on 13 Feb 2019 - 12:06

59

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Applying degree 2 or 3 irreducibility tests to higher degree

Published on 25 Mar 2026 - 12:15

121

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Question about Lang's Chapter 6 Theorem 9.1

Published on 15 Feb 2019 - 3:59

35

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Prove that $p(x) = \alpha (x)f(x) + \beta (x)g(x)$ for some irreducible $f(x)$, $g(x)$.

Published on 17 Feb 2019 - 21:18

506

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Degree of splitting field for $f(x) = x^4 - x^2 + 4$ over $\mathbb{Q}$

Published on 25 Mar 2026 - 22:30

171

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Irreducibility of q-factorial plus 1

Published on 25 Mar 2026 - 8:00

1.4k

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Splitting field of separable polynomial is Galois extension

Published on 25 Mar 2026 - 22:26

156

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Understanding Lang's Chapter 6 Theorem 9.1

Published on 26 Feb 2019 - 3:44

List Question

Determine whether a polynomial is irreducible

$x^3 - 3x - 1$ irreducible in $\mathbb Z[x]$ by Gauss Lemma

Irreducibility of the following Polynomial over $\mathbb{Q}$

Irreducible polynomial in $\mathbb C[x_1,x_2]$ also irreducible in $\mathbb C[x_1,x_2,...x_r]$?

Decide if f(X) is irreducible in the following rings

The multiplicity of a root $r$ of a irreducible polynomial is a power of $p$ characteristic

A peculiarity of Eisenstein polynomials

Is $X^8+a \in \mathbb{F}_{49}[x]$ irreducible?

Applying degree 2 or 3 irreducibility tests to higher degree

Question about Lang's Chapter 6 Theorem 9.1

Prove that $p(x) = \alpha (x)f(x) + \beta (x)g(x)$ for some irreducible $f(x)$, $g(x)$.

Degree of splitting field for $f(x) = x^4 - x^2 + 4$ over $\mathbb{Q}$

Irreducibility of q-factorial plus 1

Splitting field of separable polynomial is Galois extension

Understanding Lang's Chapter 6 Theorem 9.1

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