Question

Why we ignore the other elements of $F_{p^k}$ when we check if any element of it is a root of multiplicity greater than $1$ in $p(x)$ or not?

score 89 · Answer 1 · 2026-03-26 04:34:55

89

Views

Why we ignore the other elements of $F_{p^k}$ when we check if any element of it is a root of multiplicity greater than $1$ in $p(x)$ or not?

Published on 26 Mar 2026 - 4:34

score 301 · Answer 2 · 2026-03-27 14:55:12

301

Views

How can I prove that $(x^3-y^2)$ is a radical ideal in $\mathbb{F}_2[x,y]$?

Published on 27 Mar 2026 - 14:55

score 41 · Answer 3 · 2026-03-26 04:32:27

41

Views

multiplication of polynomials in $\mathbb{F}_2[x]$

Published on 26 Mar 2026 - 4:32

score 171 · Answer 4 · 2026-03-26 11:08:43

171

Views

Proving divisibility of a polynomial by a square of a polynomial.

Published on 26 Mar 2026 - 11:08

score 79 · Answer 5 · 2026-03-26 13:30:26

79

Views

Relation on the set of polynomials

Published on 26 Mar 2026 - 13:30

score 59 · Answer 6 · 2026-03-25 13:56:22

59

Views

Is there a "symmetric" way to use the Euclidean algorthm on $R[x,y]$ for a domain $R$?

Published on 25 Mar 2026 - 13:56

score 54 · Answer 7 · 2026-03-25 20:35:15

54

Views

Notation and interpretation of Polynomials in $\mathbb{F}_{p}[x]$

Published on 25 Mar 2026 - 20:35

score 101 · Answer 8 · 2026-03-26 04:35:11

101

Views

Factorise the following p(x) as the product of a linear term and a quadratic polynomial with no real roots.

Published on 26 Mar 2026 - 4:35

score 314 · Answer 9 · 2026-04-03 00:28:37

314

Views

Which polynomial gcd is "correct"? [unit normalization of GCDs]

Published on 03 Apr 2026 - 0:28

score 539 · Answer 10 · 2026-04-02 14:19:11

539

Views

Degree of polynomial interpolating the primes

Published on 02 Apr 2026 - 14:19

score 90 · Answer 11 · 2026-04-01 14:11:20

90

Views

roots of cubic equation complex

Published on 01 Apr 2026 - 14:11

score 74 · Answer 12 · 2026-03-22 16:36:03

74

Views

Resultant of two polynomials - generating matrix

Published on 22 Mar 2026 - 16:36

score 83 · Answer 13 · 2026-04-03 16:44:56

83

Views

Division involving a complex number

Published on 03 Apr 2026 - 16:44

score 643 · Answer 14 · 2026-03-28 21:44:24

643

Views

How to solve equation with exponents multiplied with a polynomial?

Published on 28 Mar 2026 - 21:44

score 58 · Answer 15 · 2018-11-23 18:42:16

58

Views

Integral solutions of polynomial

Published on 23 Nov 2018 - 18:42

List Question

Why we ignore the other elements of $F_{p^k}$ when we check if any element of it is a root of multiplicity greater than $1$ in $p(x)$ or not?

How can I prove that $(x^3-y^2)$ is a radical ideal in $\mathbb{F}_2[x,y]$?

multiplication of polynomials in $\mathbb{F}_2[x]$

Proving divisibility of a polynomial by a square of a polynomial.

Relation on the set of polynomials

Is there a "symmetric" way to use the Euclidean algorthm on $R[x,y]$ for a domain $R$?

Notation and interpretation of Polynomials in $\mathbb{F}_{p}[x]$

Factorise the following p(x) as the product of a linear term and a quadratic polynomial with no real roots.

Which polynomial gcd is "correct"? [unit normalization of GCDs]

Degree of polynomial interpolating the primes

roots of cubic equation complex

Resultant of two polynomials - generating matrix

Division involving a complex number

How to solve equation with exponents multiplied with a polynomial?

Integral solutions of polynomial

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