List questions from irreducible-polynomials

Published on 27 May 2023 - 15:42

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Irreducible Polynomial examples in Gallian's Contemporary Abstract Algebra

Published on 28 May 2023 - 12:47

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Incorrect Solution for A Book of Abstract Algebra Chapter 26 Question E4

Published on 30 May 2023 - 21:31

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Is $x^2+x-1\in\mathbb{F}_3[x]$ irreductible?

Published on 01 Jun 2023 - 6:32

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Using translations to apply Eisenstein's criterion of irreducibility - some kind of bound or condition?

Published on 01 Jun 2023 - 10:04

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integral solutions of polynomials in two variables

Published on 02 Jun 2023 - 0:15

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Some properties about $\mathbb{F}_3[x]/(x^3+x+1)$

Published on 02 Jun 2023 - 6:43

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An irreducible polynomial over Zp

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Ask for help on proving irreducible polynomial on $K[x]$

Published on 04 Jun 2023 - 13:57

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Dimension of $\mathbb{Q(\omega)}$ and minimal polynomial of $\sqrt[3]{2}$

Published on 06 Jun 2023 - 10:52

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$x^{\frac{p-1}{2}}+1$ is reducible in $\Bbb Z_p[x]$

Published on 07 Jun 2023 - 6:01

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Showing that $f=X^p-X+T$ is irreducible over $\mathbb{F}_p(T)[X]$

Published on 30 Mar 2026 - 9:51

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Factorization over $\mathbb{Q}$ and $\mathbb{Z_{41}}$

Published on 30 Mar 2026 - 20:38

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Show that $\langle X_1X_4-X_2X_3 \rangle$ is irreducible in $\mathbb{Q}[X_1,X_2,X_3,X_4]$.

Published on 15 Jun 2023 - 7:41

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Is $13x^5 + (3 − i)x^3 + (8 − i)(x^2 − x) + 1 − 2i$ irreducible in $(\mathbb{Q}[i])[x]$?

Published on 15 Jun 2023 - 22:56

List Question

Evaluation of irreducible polynomial in severable variables remains irreducible?

Irreducible Polynomial examples in Gallian's Contemporary Abstract Algebra

Incorrect Solution for A Book of Abstract Algebra Chapter 26 Question E4

Is $x^2+x-1\in\mathbb{F}_3[x]$ irreductible?

Using translations to apply Eisenstein's criterion of irreducibility - some kind of bound or condition?

integral solutions of polynomials in two variables

Some properties about $\mathbb{F}_3[x]/(x^3+x+1)$

An irreducible polynomial over Zp

Ask for help on proving irreducible polynomial on $K[x]$

Dimension of $\mathbb{Q(\omega)}$ and minimal polynomial of $\sqrt[3]{2}$

$x^{\frac{p-1}{2}}+1$ is reducible in $\Bbb Z_p[x]$

Showing that $f=X^p-X+T$ is irreducible over $\mathbb{F}_p(T)[X]$

Factorization over $\mathbb{Q}$ and $\mathbb{Z_{41}}$

Show that $\langle X_1X_4-X_2X_3 \rangle$ is irreducible in $\mathbb{Q}[X_1,X_2,X_3,X_4]$.

Is $13x^5 + (3 − i)x^3 + (8 − i)(x^2 − x) + 1 − 2i$ irreducible in $(\mathbb{Q}[i])[x]$?

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