Question

Prove that a polynomial of odd degree in $ \Bbb R[x]$ with no multiples roots must have an odd number of real roots.

score 992 · Answer 1 · 2026-04-15 05:24:35

992

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Prove that a polynomial of odd degree in $ \Bbb R[x]$ with no multiples roots must have an odd number of real roots.

Published on 15 Apr 2026 - 5:24

score 36 · Answer 2 · 2026-04-12 01:43:23

36

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What are the necessary and sufficient conditions to guaranty this property for sequences?

Published on 12 Apr 2026 - 1:43

score 35 · Answer 3 · 2026-04-13 18:27:12

35

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Question on polynomials

Published on 13 Apr 2026 - 18:27

score 77 · Answer 4 · 2026-04-10 18:48:28

77

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How does this factoring work?

Published on 10 Apr 2026 - 18:48

score 87 · Answer 5 · 2026-04-12 06:57:22

87

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Asymptotic behavior of zeros of a function

Published on 12 Apr 2026 - 6:57

score 49 · Answer 6 · 2026-04-12 04:39:05

49

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Analytic formulas for recursive sequences of polynomials

Published on 12 Apr 2026 - 4:39

score 190 · Answer 7 · 2026-04-13 08:01:01

190

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approximate the root of perturbed polynomial

Published on 13 Apr 2026 - 8:01

score 1.7k · Answer 8 · 2026-03-29 07:36:25

1.7k

Views

How to solve cubic equations with given coefficients?

Published on 29 Mar 2026 - 7:36

score 839 · Answer 9 · 2026-03-28 12:56:00

839

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Muller's method Three Initial values

Published on 28 Mar 2026 - 12:56

score 86 · Answer 10 · 2026-03-28 06:06:58

86

Views

Polynomials and their (real) roots

Published on 28 Mar 2026 - 6:06

score 400 · Answer 11 · 2026-03-29 16:03:11

400

Views

$ p \in Q[x] $ has as a root a fifth primitive root of unity, then every fifth primitive root of unity is a root of $p$.

Published on 29 Mar 2026 - 16:03

score 169 · Answer 12 · 2026-04-01 08:09:04

169

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How to find two square roots whose difference is greater than one.

Published on 01 Apr 2026 - 8:09

score 57 · Answer 13 · 2026-04-13 07:14:51

57

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What are the roots of this function with absolute values?

Published on 13 Apr 2026 - 7:14

score 980 · Answer 14 · 2026-04-15 02:23:37

980

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Polynomial with odd number of real roots

Published on 15 Apr 2026 - 2:23

score 1k · Answer 15 · 2026-03-29 04:34:15

1k

Views

Newton's method for function $f(x)=1- e^{x}$

Published on 29 Mar 2026 - 4:34

List Question

Prove that a polynomial of odd degree in $ \Bbb R[x]$ with no multiples roots must have an odd number of real roots.

What are the necessary and sufficient conditions to guaranty this property for sequences?

Question on polynomials

How does this factoring work?

Asymptotic behavior of zeros of a function

Analytic formulas for recursive sequences of polynomials

approximate the root of perturbed polynomial

How to solve cubic equations with given coefficients?

Muller's method Three Initial values

Polynomials and their (real) roots

$ p \in Q[x] $ has as a root a fifth primitive root of unity, then every fifth primitive root of unity is a root of $p$.

How to find two square roots whose difference is greater than one.

What are the roots of this function with absolute values?

Polynomial with odd number of real roots

Newton's method for function $f(x)=1- e^{x}$

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