Question

How to find the number of real roots for a polynomial?

score 451 · Answer 1 · 2026-03-25 07:52:27

451

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How to find the number of real roots for a polynomial?

Published on 25 Mar 2026 - 7:52

score 297 · Answer 2 · 2026-03-25 23:36:59

297

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What is a charecteristic polynomial of Gold code?

Published on 25 Mar 2026 - 23:36

score 360 · Answer 3 · 2026-03-26 01:08:00

360

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Derivative of polynomial roots with respect to a parameter

Published on 26 Mar 2026 - 1:08

score 111 · Answer 4 · 2018-10-27 20:09:40

111

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Real solution of $P(P(\cdots P(x))\cdots)=0$

Published on 27 Oct 2018 - 20:09

score 46 · Answer 5 · 2026-04-01 09:38:16

46

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On relation of the two roots of the cubic equation

Published on 01 Apr 2026 - 9:38

score 341 · Answer 6 · 2026-03-26 03:00:36

341

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How does Eisenstein's criterion use primeness?

Published on 26 Mar 2026 - 3:00

score 64 · Answer 7 · 2026-03-26 17:30:31

64

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Polynomials with some special sum divisible by all linear polynomials

Published on 26 Mar 2026 - 17:30

score 885 · Answer 8 · 2026-03-26 06:28:22

885

Views

Solve the equation $x^4+x^3-9x^2+11x-4=0$ which has multiple roots.

Published on 26 Mar 2026 - 6:28

score 506 · Answer 9 · 2026-03-25 07:42:32

506

Views

Is content multiplicative if the ring is only integrally closed?

Published on 25 Mar 2026 - 7:42

score 134 · Answer 10 · 2026-04-02 03:48:33

134

Views

Are $\frac {\mathbb R[x]} {(x^2 -1)}$ and $\frac {\mathbb R[x]}{(x^2)}$ Isomorphic?

Published on 02 Apr 2026 - 3:48

score 296 · Answer 11 · 2018-10-28 18:18:04

296

Views

Degree $3$ complex polynomial with real coefficients have $3$ complex roots (without FTA)

Published on 28 Oct 2018 - 18:18

score 179 · Answer 12 · 2026-04-02 03:50:13

179

Views

Are the quotient rings $\mathbb{Z}_2[x]/\left<x^2\right>$ and $\mathbb{Z}_2[x]/\left<x^2 + 1\right>$ isomorphic?

Published on 02 Apr 2026 - 3:50

score 83 · Answer 13 · 2026-04-04 14:51:49

83

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Homogeneous elements of the polynomial ideal $(x_1-a_1,\dots,x_n-a_n)$ belong to $(x_ia_j-x_ja_i)_{ij}$

Published on 04 Apr 2026 - 14:51

score 45 · Answer 14 · 2026-03-26 02:54:24

45

Views

Working with polynomials in $\mathbb{Z}_{2}[X]$, finding roots and splitting fields

Published on 26 Mar 2026 - 2:54

score 7.3k · Answer 15 · 2026-03-29 16:21:02

7.3k

Views

Show that following quotient ring is field: $R[x]/(x^2+1)$

Published on 29 Mar 2026 - 16:21

List Question

How to find the number of real roots for a polynomial?

What is a charecteristic polynomial of Gold code?

Derivative of polynomial roots with respect to a parameter

Real solution of $P(P(\cdots P(x))\cdots)=0$

On relation of the two roots of the cubic equation

How does Eisenstein's criterion use primeness?

Polynomials with some special sum divisible by all linear polynomials

Solve the equation $x^4+x^3-9x^2+11x-4=0$ which has multiple roots.

Is content multiplicative if the ring is only integrally closed?

Are $\frac {\mathbb R[x]} {(x^2 -1)}$ and $\frac {\mathbb R[x]}{(x^2)}$ Isomorphic?

Degree $3$ complex polynomial with real coefficients have $3$ complex roots (without FTA)

Are the quotient rings $\mathbb{Z}_2[x]/\left<x^2\right>$ and $\mathbb{Z}_2[x]/\left<x^2 + 1\right>$ isomorphic?

Homogeneous elements of the polynomial ideal $(x_1-a_1,\dots,x_n-a_n)$ belong to $(x_ia_j-x_ja_i)_{ij}$

Working with polynomials in $\mathbb{Z}_{2}[X]$, finding roots and splitting fields

Show that following quotient ring is field: $R[x]/(x^2+1)$

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