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Some questions about trigonometric polynomials, Vieta's relations and correct integer parameters for roots

score 138 · Answer 1 · 2026-03-25 12:16:16

138

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Some questions about trigonometric polynomials, Vieta's relations and correct integer parameters for roots

Published on 25 Mar 2026 - 12:16

score 421 · Answer 2 · 2018-07-16 08:17:27

421

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Polynomial Version for Fermat Last Theorem over $\mathbb{Z}_p$

Published on 16 Jul 2018 - 8:17

score 1.1k · Answer 3 · 2026-03-22 17:11:14

1.1k

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Are polynomial functions with fractional exponents transcendental?

Published on 22 Mar 2026 - 17:11

score 372 · Answer 4 · 2018-07-16 14:18:34

372

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Methods for calculating the number of zeros of a polynomial with a specified real part?

Published on 16 Jul 2018 - 14:18

score 108 · Answer 5 · 2026-03-31 12:04:04

108

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Is there a simple formula for this polynomial sum?

Published on 31 Mar 2026 - 12:04

score 364 · Answer 6 · 2026-03-26 17:47:31

364

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Prove that polynomial of degree $4$ with real roots cannot have $\pm 1$ as coefficients (IITJEE)

Published on 26 Mar 2026 - 17:47

score 52 · Answer 7 · 2026-03-25 04:44:23

52

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If $f(T)g(T)=0$ and $V_1=g(T)(V)$, $V_2=f(T)(V)$ proof that $V=V_1\oplus V_2$

Published on 25 Mar 2026 - 4:44

score 155 · Answer 8 · 2026-03-27 01:00:18

155

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Ways to find $\min[f(x)]$ where $f(x) = (x-1)(x-2)(x-3)(x-4)$ without using derivatives

Published on 27 Mar 2026 - 1:00

score 109 · Answer 9 · 2026-03-31 07:52:20

109

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where the root of $f(x) $ belong?

Published on 31 Mar 2026 - 7:52

score 103 · Answer 10 · 2026-03-26 01:00:10

103

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An inequality with substitution

Published on 26 Mar 2026 - 1:00

score 226 · Answer 11 · 2026-03-25 11:12:07

226

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Constructing explicit connected path for coefficients of monic polynomials with roots lying in the open left half plane?

Published on 25 Mar 2026 - 11:12

score 339 · Answer 12 · 2018-07-16 18:17:38

If $f\in \mathbb{Z[x]}$ is a polynomial and $f(2^n)$ is a perfect square for all $n$, then there is a $g\in \mathbb{Z[x]}$ such that $f=g^2$

score 204 · Answer 13 · 2026-03-27 01:00:10

204

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Nontrivial integer solutions of $\sum_{i=1}^3 a_i ^3=\sum_{i=1}^3 b_i ^3$ and $\sum_{i=1}^3 a_i =\sum_{i=1}^3 b_i$

Published on 27 Mar 2026 - 1:00

score 49 · Answer 14 · 2026-03-31 07:53:03

49

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Number of isolated solutions of a systems of polynomial equations

Published on 31 Mar 2026 - 7:53

score 292 · Answer 15 · 2018-07-17 10:30:46

292

Views

Understanding How To Find Zeroes Of Polynomials.

Published on 17 Jul 2018 - 10:30

List Question

Some questions about trigonometric polynomials, Vieta's relations and correct integer parameters for roots

Polynomial Version for Fermat Last Theorem over $\mathbb{Z}_p$

Are polynomial functions with fractional exponents transcendental?

Methods for calculating the number of zeros of a polynomial with a specified real part?

Is there a simple formula for this polynomial sum?

Prove that polynomial of degree $4$ with real roots cannot have $\pm 1$ as coefficients (IITJEE)

If $f(T)g(T)=0$ and $V_1=g(T)(V)$, $V_2=f(T)(V)$ proof that $V=V_1\oplus V_2$

Ways to find $\min[f(x)]$ where $f(x) = (x-1)(x-2)(x-3)(x-4)$ without using derivatives

where the root of $f(x) $ belong?

An inequality with substitution

Constructing explicit connected path for coefficients of monic polynomials with roots lying in the open left half plane?

If $f\in \mathbb{Z[x]}$ is a polynomial and $f(2^n)$ is a perfect square for all $n$, then there is a $g\in \mathbb{Z[x]}$ such that $f=g^2$

Nontrivial integer solutions of $\sum_{i=1}^3 a_i ^3=\sum_{i=1}^3 b_i ^3$ and $\sum_{i=1}^3 a_i =\sum_{i=1}^3 b_i$

Number of isolated solutions of a systems of polynomial equations

Understanding How To Find Zeroes Of Polynomials.

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