List questions from irreducible-polynomials

Published on 01 Nov 2019 - 16:10

57

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Irreducibility of $x^p-a \in \Bbb Q[x]$, where $a(>0) \in \Bbb Q $ with $ a^{1/p} \notin \Bbb Q$

Published on 03 Nov 2019 - 18:00

149

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Irreducible polynomial in $k[x,y,z]$.

Published on 03 Nov 2019 - 19:42

75

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$x^4-t^4$ irreducible over $\mathbb{C}(t^4)$

Published on 04 Nov 2019 - 17:12

115

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Abelian Galois group

Published on 07 Nov 2019 - 12:01

157

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Irreducible polynomial in integer polynomial ring with complex root is a reciprocal polynomial

Published on 07 Nov 2019 - 20:09

137

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General way to find monic irreducible polynomial of degree $n$

Published on 08 Nov 2019 - 1:17

300

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$X^{2n} - 2X^n -7$ irreducible over $\mathbb{Q}$?

Published on 10 Nov 2019 - 21:57

169

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Proving Irreducibility of Multivariate Polynomials

Published on 11 Nov 2019 - 10:16

51

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Showing something is a prime ideal.

Published on 12 Nov 2019 - 8:06

96

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$\mathbb{R} [ X ] / ( X^ 2 + 2 )\cong \mathbb{C}$?

Published on 12 Nov 2019 - 9:42

63

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Is $x^5+x^3+x+1$ irreducible in $\mathbb{F}_3$?

Published on 13 Nov 2019 - 21:45

175

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Is $f(x) = x^4 - 6x^2 + 3x + 57$ irreducible over $\mathbb{C}$ ? Over $\mathbb{R}$?

Published on 14 Nov 2019 - 1:04

47

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Abstract Algebra polynomial ring

Published on 14 Nov 2019 - 3:19

62

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Irreducible polynomials .

Published on 14 Nov 2019 - 15:12

List Question

Show that $x^6+x^3+1$ is irreducible over $\mathbb{F}_2$

Irreducibility of $x^p-a \in \Bbb Q[x]$, where $a(>0) \in \Bbb Q $ with $ a^{1/p} \notin \Bbb Q$

Irreducible polynomial in $k[x,y,z]$.

$x^4-t^4$ irreducible over $\mathbb{C}(t^4)$

Abelian Galois group

Irreducible polynomial in integer polynomial ring with complex root is a reciprocal polynomial

General way to find monic irreducible polynomial of degree $n$

$X^{2n} - 2X^n -7$ irreducible over $\mathbb{Q}$?

Proving Irreducibility of Multivariate Polynomials

Showing something is a prime ideal.

$\mathbb{R} [ X ] / ( X^ 2 + 2 )\cong \mathbb{C}$?

Is $x^5+x^3+x+1$ irreducible in $\mathbb{F}_3$?

Is $f(x) = x^4 - 6x^2 + 3x + 57$ irreducible over $\mathbb{C}$ ? Over $\mathbb{R}$?

Abstract Algebra polynomial ring

Irreducible polynomials .

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