Question

The splitting field of $p(x)=x^4+ax^2+b$ over $F$ is $F[x]/\langle p(x)\rangle$

score 251 · Answer 1 · 2026-03-27 00:38:54

251

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The splitting field of $p(x)=x^4+ax^2+b$ over $F$ is $F[x]/\langle p(x)\rangle$

Published on 27 Mar 2026 - 0:38

score 100 · Answer 2 · 2016-09-11 17:03:21

100

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If P has all the roots of same modulus, then $P(-1) \in \mathbb{R}$

Published on 11 Sep 2016 - 17:03

score 225 · Answer 3 · 2026-03-28 08:27:55

225

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Symmetric polynomials with Vieta's and Newton's theorems

Published on 28 Mar 2026 - 8:27

score 66 · Answer 4 · 2016-09-12 15:31:20

66

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$\forall a\in \mathbb R^+ \space\forall n \in \mathbb N \space\space\exists x\in \mathbb R^+ \space\space x^n=a$

Published on 12 Sep 2016 - 15:31

score 150 · Answer 5 · 2016-09-13 00:41:02

150

Views

Analytical solution to $A \cos (x + \alpha) - B \cos(3x + \beta) = 0$

Published on 13 Sep 2016 - 0:41

score 19 · Answer 6 · 2026-03-30 06:46:56

19

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Does the limit of a series of functions with large zero sets have a large zero set?

Published on 30 Mar 2026 - 6:46

score 5.1k · Answer 7 · 2026-04-10 19:10:45

5.1k

Views

Find quadratic equation with a complex root

Published on 10 Apr 2026 - 19:10

score 134 · Answer 8 · 2016-09-15 03:34:41

134

Views

Finding the Roots of this Cubic

Published on 15 Sep 2016 - 3:34

score 108 · Answer 9 · 2026-03-27 16:47:43

108

Views

A (possibly) new way of arriving at the Newton-Raphson method??

Published on 27 Mar 2026 - 16:47

score 26.8k · Answer 10 · 2026-04-04 12:37:49

26.8k

Views

Solving for all values of k if a quadratic equation containing it has two distinct real roots

Published on 04 Apr 2026 - 12:37

score 211 · Answer 11 · 2026-03-27 05:41:48

211

Views

How to show that the roots of $-x^3+3x+\left(2-\frac{4}{n}\right)=0$ are real (and how to find them)

Published on 27 Mar 2026 - 5:41

score 374 · Answer 12 · 2026-04-10 22:02:18

374

Views

Help on solving roots given sum of zeros, product of zeros, sum of coefficients are equal.

Published on 10 Apr 2026 - 22:02

score 253 · Answer 13 · 2026-04-12 05:40:36

253

Views

Should we take only positive root i.e. -y or both the roots + or -y?

Published on 12 Apr 2026 - 5:40

score 2.9k · Answer 14 · 2026-04-03 20:18:33

2.9k

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Let $r$, $s$, and $t$ be the roots of the equation $x^3 - 2x + 1 = 0$ in some order. What is the maximal value of $r^3 - s- t$?

Published on 03 Apr 2026 - 20:18

score 493 · Answer 15 · 2026-04-12 16:50:57

493

Views

Expressing a root of an irreducible polynomials using the other roots

Published on 12 Apr 2026 - 16:50

List Question

The splitting field of $p(x)=x^4+ax^2+b$ over $F$ is $F[x]/\langle p(x)\rangle$

If P has all the roots of same modulus, then $P(-1) \in \mathbb{R}$

Symmetric polynomials with Vieta's and Newton's theorems

$\forall a\in \mathbb R^+ \space\forall n \in \mathbb N \space\space\exists x\in \mathbb R^+ \space\space x^n=a$

Analytical solution to $A \cos (x + \alpha) - B \cos(3x + \beta) = 0$

Does the limit of a series of functions with large zero sets have a large zero set?

Find quadratic equation with a complex root

Finding the Roots of this Cubic

A (possibly) new way of arriving at the Newton-Raphson method??

Solving for all values of k if a quadratic equation containing it has two distinct real roots

How to show that the roots of $-x^3+3x+\left(2-\frac{4}{n}\right)=0$ are real (and how to find them)

Help on solving roots given sum of zeros, product of zeros, sum of coefficients are equal.

Should we take only positive root i.e. -y or both the roots + or -y?

Let $r$, $s$, and $t$ be the roots of the equation $x^3 - 2x + 1 = 0$ in some order. What is the maximal value of $r^3 - s- t$?

Expressing a root of an irreducible polynomials using the other roots

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