List questions from irreducible-polynomials

Published on 11 Mar 2019 - 21:42

412

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Prove $x^n+x^{n-1}+2$ is irreducible in $\mathbb{Q}[x]$ for $n\geq 2$

Published on 14 Mar 2019 - 13:22

193

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Irreducibility of $x^5-10x^4+55x^3-110x^2+184x-60$ in $\mathbb{Q}[x]$

Published on 16 Mar 2019 - 11:50

80

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Prove that the Galois group of $f\left(x\right)$ over $\mathbb{Q}$ is not a simple group.

Published on 16 Mar 2019 - 17:24

131

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Reducible and Irreducible polynomials over $\Bbb Q$

Published on 17 Mar 2019 - 23:16

70

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Direct sum factorization of polynomials

Published on 25 Mar 2026 - 3:17

102

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Factorise $x^{111}+9x^{74}+27x^{37}+27$ in $\mathbb{Z}[x]$

Published on 25 Mar 2019 - 18:08

299

Views

Irreducibility of a simple polynomial

Published on 26 Mar 2019 - 20:53

1.1k

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Proving that there are infinitely many irreducible polynomial in $\mathbb{Z}_{5} [x]$

Published on 29 Mar 2019 - 6:02

479

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Maximal ideals of $\Bbb F_2[x]$

Published on 30 Mar 2019 - 12:44

134

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Prove that $f(x)$ and $g(x)$ do not have any roots in common.

Published on 01 Apr 2019 - 5:14

898

Views

Why is $(X^5-1)/(X-1)$ the minimal polynomial for $e^{2\pi i/5}$, the fifth root of unity, over $\Bbb Q$?

Published on 02 Apr 2019 - 10:45

973

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polynomial units in field

Published on 02 Apr 2019 - 16:28

55

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Existence of irreducible polynomials with certain criteria

Published on 03 Apr 2019 - 16:47

328

Views

Showing $f(t) = t^4 + 2t^2 + 9$ is reducible over $\Bbb Q$

Published on 04 Apr 2019 - 8:58

List Question

Why is this polynomial irreducible at mostly prime exponents

Prove $x^n+x^{n-1}+2$ is irreducible in $\mathbb{Q}[x]$ for $n\geq 2$

Irreducibility of $x^5-10x^4+55x^3-110x^2+184x-60$ in $\mathbb{Q}[x]$

Prove that the Galois group of $f\left(x\right)$ over $\mathbb{Q}$ is not a simple group.

Reducible and Irreducible polynomials over $\Bbb Q$

Direct sum factorization of polynomials

Factorise $x^{111}+9x^{74}+27x^{37}+27$ in $\mathbb{Z}[x]$

Irreducibility of a simple polynomial

Proving that there are infinitely many irreducible polynomial in $\mathbb{Z}_{5} [x]$

Maximal ideals of $\Bbb F_2[x]$

Prove that $f(x)$ and $g(x)$ do not have any roots in common.

Why is $(X^5-1)/(X-1)$ the minimal polynomial for $e^{2\pi i/5}$, the fifth root of unity, over $\Bbb Q$?

polynomial units in field

Existence of irreducible polynomials with certain criteria

Showing $f(t) = t^4 + 2t^2 + 9$ is reducible over $\Bbb Q$

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