List questions from irreducible-polynomials

Published on 02 May 2017 - 21:29

506

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How to prove $ x^2 + y^3$ irreducible over $\mathbb{C}[x,y]$

Published on 03 May 2017 - 7:22

52

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Doubt in understanding a remark about Galois Theory?

Published on 08 Apr 2026 - 13:07

107

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Finding the irreducible polynomial corresponding to the element $\sqrt3+\sqrt5$ in the field $\mathbb Q(\sqrt15)$

Published on 03 May 2017 - 14:56

290

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divisibility of polynomials over a finite field

Published on 03 May 2017 - 17:54

38

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Deterministic methods in maths?

Published on 04 May 2017 - 10:36

63

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Factorize $X^p+1$ in a field of characteristic $p$.

Published on 04 May 2017 - 10:55

675

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For which field $F$ and prime $p$, the polynomial $x^p-x\in F[x]$ has a multiple root?

Published on 04 May 2017 - 15:25

41

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A problem with non-linear polynomials.

Published on 04 May 2017 - 16:28

89

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How to prove that this polynomial is irreducible?

Published on 04 May 2017 - 21:18

67

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Is there as much monic irreducible polynomial than irreducible polynomial in a finite field?

Published on 08 May 2017 - 16:56

458

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Example of Basic Theorem of field extensions

Published on 08 May 2017 - 22:15

353

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Irreducible Laurent polynomial in multiple variables: Ideal intersection

Published on 11 May 2017 - 22:15

938

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Elements in $GF(2)[x]$ and why $GF(4)=GF(2)[x]/(f)=\{0,1,x,x+1\}$

Published on 12 May 2017 - 11:26

91

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(From Milne's field theory notes)Why does the splitting field of a degree-$3$ irreduciblle polynomial has degree $3$ or $6$ over $\Bbb Q$?

Published on 28 Mar 2026 - 21:06

List Question

$x^6+2x^3-3x^2+1$, irreducible over $\mathbb{Q}$

How to prove $ x^2 + y^3$ irreducible over $\mathbb{C}[x,y]$

Doubt in understanding a remark about Galois Theory?

Finding the irreducible polynomial corresponding to the element $\sqrt3+\sqrt5$ in the field $\mathbb Q(\sqrt15)$

divisibility of polynomials over a finite field

Deterministic methods in maths?

Factorize $X^p+1$ in a field of characteristic $p$.

For which field $F$ and prime $p$, the polynomial $x^p-x\in F[x]$ has a multiple root?

A problem with non-linear polynomials.

How to prove that this polynomial is irreducible?

Is there as much monic irreducible polynomial than irreducible polynomial in a finite field?

Example of Basic Theorem of field extensions

Irreducible Laurent polynomial in multiple variables: Ideal intersection

Elements in $GF(2)[x]$ and why $GF(4)=GF(2)[x]/(f)=\{0,1,x,x+1\}$

(From Milne's field theory notes)Why does the splitting field of a degree-$3$ irreduciblle polynomial has degree $3$ or $6$ over $\Bbb Q$?

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