List questions from irreducible-polynomials

Published on 20 May 2020 - 1:11

298

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Finding a minimal polynomial of a root of unity over a field extension

Published on 21 May 2020 - 4:21

48

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Reducibility of multi-variable polynomials

Published on 25 Mar 2026 - 23:17

50

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Why a polynomial is irreducible over Z

Published on 25 Mar 2026 - 23:20

112

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Quotient $\mathbb{Z}[X]$ by an irreducible and monic polynomial.

Published on 23 May 2020 - 12:14

782

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Is $x^5-2x+4$ irreducible in $\mathbb{Q}[x]$?

Published on 24 May 2020 - 0:36

124

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A problem regarding a maximal ideal in a polynomial ring in several variables

Published on 25 May 2020 - 6:21

98

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How to show that a polynomial is irreducible

Published on 25 May 2020 - 6:26

353

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Prove that $x−1$ and $y−1$ are irreducible in $R$

Published on 25 May 2020 - 13:16

74

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For which $n$ is $\sum_{i=0}^n x^i\in\mathbb{Q}[x]$ irreducible?

Published on 25 May 2020 - 17:05

60

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Showing an ideal is prime in polynomial ring: over $\Bbb Q$ and $\Bbb C$.

Published on 26 May 2020 - 0:27

57

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Checking irreducibility of polynomials in two variables

Published on 26 May 2020 - 0:46

396

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$x^2+3x+3$ is irreducible in $\mathbb{F}_{25}[x]$

Published on 23 Feb 2026 - 6:38

171

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Factoring $x^{2020} + x^{2019} + \cdots + x + 1$ on $\mathbb Q[x]$

Published on 26 Mar 2026 - 11:15

62

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A Curve Over Finite Field

Published on 29 May 2020 - 18:11

List Question

Need help showing that $x^2 + bx + c$ with $b^2 - 4c < 0$ is irreducible

Finding a minimal polynomial of a root of unity over a field extension

Reducibility of multi-variable polynomials

Why a polynomial is irreducible over Z

Quotient $\mathbb{Z}[X]$ by an irreducible and monic polynomial.

Is $x^5-2x+4$ irreducible in $\mathbb{Q}[x]$?

A problem regarding a maximal ideal in a polynomial ring in several variables

How to show that a polynomial is irreducible

Prove that $x−1$ and $y−1$ are irreducible in $R$

For which $n$ is $\sum_{i=0}^n x^i\in\mathbb{Q}[x]$ irreducible?

Showing an ideal is prime in polynomial ring: over $\Bbb Q$ and $\Bbb C$.

Checking irreducibility of polynomials in two variables

$x^2+3x+3$ is irreducible in $\mathbb{F}_{25}[x]$

Factoring $x^{2020} + x^{2019} + \cdots + x + 1$ on $\mathbb Q[x]$

A Curve Over Finite Field

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