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How do I find the sum of the cubes of the roots in a cubic polynomial?

score 11.5k · Answer 1 · 2026-03-26 08:02:31

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How do I find the sum of the cubes of the roots in a cubic polynomial?

Published on 26 Mar 2026 - 8:02

score 67 · Answer 2 · 2014-11-16 16:18:10

67

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Show that no linear polynomial divides $x^k + x^{k-1} + \cdots + 1$ with $k\ge 2$ even

Published on 16 Nov 2014 - 16:18

score 19.9k · Answer 3 · 2026-03-26 09:39:50

19.9k

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Derivation of Cubic Formula

Published on 26 Mar 2026 - 9:39

score 1.6k · Answer 4 · 2014-11-17 15:01:48

1.6k

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How to solve: $x^4+x^2=1$

Published on 17 Nov 2014 - 15:01

score 1.4k · Answer 5 · 2026-03-25 06:40:57

1.4k

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How to use binary search to find a function

Published on 25 Mar 2026 - 6:40

score 25 · Answer 6 · 2014-11-18 02:52:09

25

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multiplicity and zeros of a function with more on right side

Published on 18 Nov 2014 - 2:52

score 640 · Answer 7 · 2026-03-29 10:37:18

640

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Counting number of roots inside a circle, using Rouche's theorem,

Published on 29 Mar 2026 - 10:37

score 203 · Answer 8 · 2014-11-18 05:04:29

203

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Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$

Published on 18 Nov 2014 - 5:04

score 344 · Answer 9 · 2014-11-18 05:22:11

Can we make a sequence of real numbers such that polynomial of any degree with co-efficients of the sequence has all its roots real and distinct ?

score 120 · Answer 10 · 2014-11-18 07:18:40

How to show that the polynomilal $\sum_{k=0}^n \dfrac 1{3^{k^2}}x^k$ has $n$ distinct real roots for any positive integer $n$ ?

score 430 · Answer 11 · 2014-11-18 12:51:45

430

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Is Rufinni's rule the quickest hand-method to find roots in high order polynomials?

Published on 18 Nov 2014 - 12:51

score 55 · Answer 12 · 2014-11-19 00:21:21

55

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The existence of a polynomial of degree $n$ with a prescribed number of critical points

Published on 19 Nov 2014 - 0:21

score 63 · Answer 13 · 2026-03-26 19:23:44

63

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Build a polynomial

Published on 26 Mar 2026 - 19:23

score 80 · Answer 14 · 2026-03-30 12:01:54

80

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Undergraduate Complex Analysis: Use of Rouche's Theorem

Published on 30 Mar 2026 - 12:01

score 175 · Answer 15 · 2014-11-20 01:28:53

175

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Finding all z (complex) that satisfies an equation

Published on 20 Nov 2014 - 1:28

List Question

How do I find the sum of the cubes of the roots in a cubic polynomial?

Show that no linear polynomial divides $x^k + x^{k-1} + \cdots + 1$ with $k\ge 2$ even

Derivation of Cubic Formula

How to solve: $x^4+x^2=1$

How to use binary search to find a function

multiplicity and zeros of a function with more on right side

Counting number of roots inside a circle, using Rouche's theorem,

Real roots of a polynomial of real co-efficients , with the co-efficients of $x^2 , x$ and the constant term all $1$

Can we make a sequence of real numbers such that polynomial of any degree with co-efficients of the sequence has all its roots real and distinct ?

How to show that the polynomilal $\sum_{k=0}^n \dfrac 1{3^{k^2}}x^k$ has $n$ distinct real roots for any positive integer $n$ ?

Is Rufinni's rule the quickest hand-method to find roots in high order polynomials?

The existence of a polynomial of degree $n$ with a prescribed number of critical points

Build a polynomial

Undergraduate Complex Analysis: Use of Rouche's Theorem

Finding all z (complex) that satisfies an equation

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