Question

Infinite Series polynomials

score 46 · Answer 1 · 2018-11-25 19:12:35

46

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Infinite Series polynomials

Published on 25 Nov 2018 - 19:12

score 89 · Answer 2 · 2026-03-26 04:31:20

89

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Show that these non-linear recursions produce integers only

Published on 26 Mar 2026 - 4:31

score 808 · Answer 3 · 2026-04-01 15:47:45

808

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Link between polynomial and derivative of polynomial

Published on 01 Apr 2026 - 15:47

score 136 · Answer 4 · 2026-03-27 23:32:00

136

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How to get from $x^{p-1}-1$ to $(x-1)(x^{p-2}+x^{p-3}+\cdots+x+1)$?

Published on 27 Mar 2026 - 23:32

score 169 · Answer 5 · 2026-03-27 08:40:04

169

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A faster solution to this equation: $e^{-ix}(1+e^{-ix}) = -1$

Published on 27 Mar 2026 - 8:40

score 52 · Answer 6 · 2018-11-26 17:10:27

52

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Is the largest root of a parametrized family of polynomials again polynomial?

Published on 26 Nov 2018 - 17:10

score 60 · Answer 7 · 2018-11-26 21:35:03

60

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Polynomial defined by products of binomial coefficients

Published on 26 Nov 2018 - 21:35

score 217 · Answer 8 · 2018-11-27 00:00:24

217

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Zeros of largest root of a parametrized family of polynomials

Published on 27 Nov 2018 - 0:00

score 115 · Answer 9 · 2026-04-01 15:45:31

115

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Real solution of $(\cos x -\sin x)\cdot \bigg(2\tan x+\frac{1}{\cos x}\bigg)+2=0.$

Published on 01 Apr 2026 - 15:45

score 162 · Answer 10 · 2018-11-27 09:30:18

162

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Spivak calculus, Sum of a polynomial's all derivatives, chapter 11 question 26

Published on 27 Nov 2018 - 9:30

score 375 · Answer 11 · 2026-03-26 12:07:01

375

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Polynomials $P(x)\in k[x]$ satisfying condition $P(x^2)=P(-x)P(x)$

Published on 26 Mar 2026 - 12:07

score 188 · Answer 12 · 2018-11-27 17:54:44

188

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If coefficients are polynomial functions over $\mathbb R$ of a monic polynomial, can we find $n$ continuous functions that constitute the roots?

Published on 27 Nov 2018 - 17:54

score 213 · Answer 13 · 2018-11-27 19:03:49

213

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How to create a polynomial to model the sum of the faces on a cube?

Published on 27 Nov 2018 - 19:03

score 156 · Answer 14 · 2026-03-25 17:44:36

156

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irreducible polynomial $f$ in four variables with complex coefficients such that $f(x^3+y^3+z^3,x^2y+y^2z+z^2x,xy^2+yz^2+zx^2,xyz)=0$

Published on 25 Mar 2026 - 17:44

score 76 · Answer 15 · 2018-11-28 01:37:42

76

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Values of $a$ for which $p(x)$ has a complex roots?

Published on 28 Nov 2018 - 1:37

List Question

Infinite Series polynomials

Show that these non-linear recursions produce integers only

Link between polynomial and derivative of polynomial

How to get from $x^{p-1}-1$ to $(x-1)(x^{p-2}+x^{p-3}+\cdots+x+1)$?

A faster solution to this equation: $e^{-ix}(1+e^{-ix}) = -1$

Is the largest root of a parametrized family of polynomials again polynomial?

Polynomial defined by products of binomial coefficients

Zeros of largest root of a parametrized family of polynomials

Real solution of $(\cos x -\sin x)\cdot \bigg(2\tan x+\frac{1}{\cos x}\bigg)+2=0.$

Spivak calculus, Sum of a polynomial's all derivatives, chapter 11 question 26

Polynomials $P(x)\in k[x]$ satisfying condition $P(x^2)=P(-x)P(x)$

If coefficients are polynomial functions over $\mathbb R$ of a monic polynomial, can we find $n$ continuous functions that constitute the roots?

How to create a polynomial to model the sum of the faces on a cube?

irreducible polynomial $f$ in four variables with complex coefficients such that $f(x^3+y^3+z^3,x^2y+y^2z+z^2x,xy^2+yz^2+zx^2,xyz)=0$

Values of $a$ for which $p(x)$ has a complex roots?

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