Question

Do the zeroes of this polynomial lie inside, outside, or on the unit circle? $P_n(z)=1^3 z + 2^3 z^2 + 3^3 z^3 + \cdots + n^3 z^n$

score 797 · Answer 1 · 2026-03-26 09:50:06

797

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Do the zeroes of this polynomial lie inside, outside, or on the unit circle? $P_n(z)=1^3 z + 2^3 z^2 + 3^3 z^3 + \cdots + n^3 z^n$

Published on 26 Mar 2026 - 9:50

score 51 · Answer 2 · 2019-01-05 15:58:35

51

Views

Finding roots with Newton's method

Published on 05 Jan 2019 - 15:58

score 69 · Answer 3 · 2019-01-06 00:11:07

69

Views

Evaluating the value of the roots of the expression

Published on 06 Jan 2019 - 0:11

score 36 · Answer 4 · 2026-03-25 14:21:07

36

Views

Algorithm to find the n-th root in the free group

Published on 25 Mar 2026 - 14:21

score 216 · Answer 5 · 2019-01-06 17:59:58

216

Views

Relation of Roots of Bi-quadratic equation without using Vieta's formula

Published on 06 Jan 2019 - 17:59

score 1.1k · Answer 6 · 2026-03-25 12:21:14

1.1k

Views

On the number of roots of the polynomial $x^3+Ax^2+1=0$

Published on 25 Mar 2026 - 12:21

score 167 · Answer 7 · 2019-01-07 05:43:01

167

Views

Construct an analytic function with zeros at intersection of zeros of other analytic functions

Published on 07 Jan 2019 - 5:43

score 271 · Answer 8 · 2019-01-08 00:40:53

271

Views

How do the roots behave asymoptotically?

Published on 08 Jan 2019 - 0:40

score 160 · Answer 9 · 2026-03-30 09:41:04

160

Views

Describe $\Bbb{R}[x]/(x^2 + 1)$

Published on 30 Mar 2026 - 9:41

score 67 · Answer 10 · 2019-01-09 18:03:13

67

Views

Zeros of $f + t g$ goes to the zeros of $g$ as $t \to \infty$?

Published on 09 Jan 2019 - 18:03

score 37 · Answer 11 · 2019-01-09 21:33:34

37

Views

How are these two expressions equal/the same?

Published on 09 Jan 2019 - 21:33

score 968 · Answer 12 · 2026-03-26 06:17:25

968

Views

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Published on 26 Mar 2026 - 6:17

score 982 · Answer 13 · 2019-01-11 11:06:43

982

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Published on 11 Jan 2019 - 11:06

score 141 · Answer 14 · 2026-03-26 18:58:20

141

Views

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Published on 26 Mar 2026 - 18:58

score 161 · Answer 15 · 2019-01-11 22:58:17

161

Views

Real solutions of a monic polynomial $f(x) \in \mathbb R[x]$ only containing even degree terms

Published on 11 Jan 2019 - 22:58

List Question

Do the zeroes of this polynomial lie inside, outside, or on the unit circle? $P_n(z)=1^3 z + 2^3 z^2 + 3^3 z^3 + \cdots + n^3 z^n$

Finding roots with Newton's method

Evaluating the value of the roots of the expression

Algorithm to find the n-th root in the free group

Relation of Roots of Bi-quadratic equation without using Vieta's formula

On the number of roots of the polynomial $x^3+Ax^2+1=0$

Construct an analytic function with zeros at intersection of zeros of other analytic functions

How do the roots behave asymoptotically?

Describe $\Bbb{R}[x]/(x^2 + 1)$

Zeros of $f + t g$ goes to the zeros of $g$ as $t \to \infty$?

How are these two expressions equal/the same?

Most efficient root finding algorithm for a monotonic function

Positive solution to quadratic equation

Newton's finding root method - n digits accuracy

Real solutions of a monic polynomial $f(x) \in \mathbb R[x]$ only containing even degree terms

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