List questions from irreducible-polynomials

44

Views

Parity of the number of '1's in subsets of the coefficients of irreducible polynomials of degree $n$ over $GF(2)$

Published on 11 Dec 2015 - 2:20

110

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Constructing a field so that a polynomial has a root.

Published on 12 Dec 2015 - 10:01

717

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Reducible polynomial over $\mathbb{F}_9$, but irreducible over $\mathbb{F}_{27}$

Published on 12 Dec 2015 - 16:43

64

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Roots of $x^2+1$ over $\mathbb{Z}_7$?

Published on 13 Dec 2015 - 9:03

112

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Does the polynomial $x^7-2$ reduce over the field $\mathbb{Q}(e^{\frac{2 \pi i}{7}})$?

Published on 13 Dec 2015 - 9:25

196

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On Greatest Common Divisors

Published on 03 Apr 2026 - 19:36

96

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Determine the irreducibility of polynomial.

Published on 13 Dec 2015 - 12:15

2.8k

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Roots of polynomials of the form $x^q-x-\alpha$ over $\mathbb F_{q^m}$

Published on 13 Dec 2015 - 21:18

750

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How to prove a polynomial irreducible over $\mathbb{C}$

Published on 14 Dec 2015 - 1:49

137

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Proof that a polynomial is irreducible over $\mathbb Q$

Published on 15 Dec 2015 - 6:14

522

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Proving $\mathbb C[x,y]/\langle x^2+y^2+1\rangle,\mathbb R[x,y]/\langle x^2+y^2+1\rangle$ are integral domains

Published on 27 Mar 2026 - 15:19

899

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Prove altered version of Eisenstein's criterion

Published on 15 Dec 2015 - 23:00

1.9k

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Is $x^6-x^3+1$ irreducible over $\mathbb Q[x]$?

Published on 03 Apr 2026 - 9:14

276

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Understanding Abel-Ruffini

Published on 16 Dec 2015 - 20:57

4.9k

Views

Why is the polynomial $2x^2 + 4$ reducible over $\mathbb{Z}$

Published on 18 Dec 2015 - 10:16

List Question

Parity of the number of '1's in subsets of the coefficients of irreducible polynomials of degree $n$ over $GF(2)$

Constructing a field so that a polynomial has a root.

Reducible polynomial over $\mathbb{F}_9$, but irreducible over $\mathbb{F}_{27}$

Roots of $x^2+1$ over $\mathbb{Z}_7$?

Does the polynomial $x^7-2$ reduce over the field $\mathbb{Q}(e^{\frac{2 \pi i}{7}})$?

On Greatest Common Divisors

Determine the irreducibility of polynomial.

Roots of polynomials of the form $x^q-x-\alpha$ over $\mathbb F_{q^m}$

How to prove a polynomial irreducible over $\mathbb{C}$

Proof that a polynomial is irreducible over $\mathbb Q$

Proving $\mathbb C[x,y]/\langle x^2+y^2+1\rangle,\mathbb R[x,y]/\langle x^2+y^2+1\rangle$ are integral domains

Prove altered version of Eisenstein's criterion

Is $x^6-x^3+1$ irreducible over $\mathbb Q[x]$?

Understanding Abel-Ruffini

Why is the polynomial $2x^2 + 4$ reducible over $\mathbb{Z}$

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