Question

How to find the vertex of a parabola given by the bivariate quadratic $(ax+my+n)^2-4ay=0$

score 89 · Answer 1 · 2018-06-27 23:51:09

89

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How to find the vertex of a parabola given by the bivariate quadratic $(ax+my+n)^2-4ay=0$

Published on 27 Jun 2018 - 23:51

score 119 · Answer 2 · 2026-03-25 12:55:16

119

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Homomorphism and irreducible polynomials

Published on 25 Mar 2026 - 12:55

score 40 · Answer 3 · 2026-03-25 14:36:40

40

Views

Let $f(t)$ be a polynomial. When $\sum_{k=1}^n f(\sin{kx_0})$ is bounded for any $x_0$?

Published on 25 Mar 2026 - 14:36

score 274 · Answer 4 · 2018-06-28 15:25:38

274

Views

Find the value of $x^2 + y^2 + z^2$.

Published on 28 Jun 2018 - 15:25

score 1k · Answer 5 · 2026-03-25 03:04:32

1k

Views

If $α, β, γ$ are roots of $x^3 - x -1 = 0$, then find the value of $\frac{1+α}{1-α} + \frac{1+β}{1-β} + \frac{1+γ}{1-γ}$.

Published on 25 Mar 2026 - 3:04

score 363 · Answer 6 · 2026-03-25 04:42:46

363

Views

How to estimate the number of roots and their multiplicity in some interval when polynomial has fractional powers?

Published on 25 Mar 2026 - 4:42

score 52 · Answer 7 · 2026-03-25 16:08:29

52

Views

Greatest common divisors of a family of polynomials

Published on 25 Mar 2026 - 16:08

score 39 · Answer 8 · 2026-03-26 14:27:48

39

Views

is the below expression a polynomial?

Published on 26 Mar 2026 - 14:27

score 275 · Answer 9 · 2026-02-23 04:02:51

275

Views

Can we say there is exactly one root of $x^4-7x^3+9=0$ in $(1, \:\: 2)$?

Published on 23 Feb 2026 - 4:02

score 243 · Answer 10 · 2026-03-26 11:18:33

243

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Literature about the equation $x^m+y^m+z^m=(x+y)^m$

Published on 26 Mar 2026 - 11:18

score 2.5k · Answer 11 · 2026-03-30 08:00:13

2.5k

Views

Show $x^{p^n}-x$ has distinct roots over a field of characteristic $p$.

Published on 30 Mar 2026 - 8:00

score 1.5k · Answer 12 · 2026-03-28 15:25:58

1.5k

Views

$f$ irreducible iff Galois group acts transitively on roots

Published on 28 Mar 2026 - 15:25

score 104 · Answer 13 · 2026-03-31 03:26:55

104

Views

Is concept of Repeated root only for Polynomials

Published on 31 Mar 2026 - 3:26

score 348 · Answer 14 · 2026-03-25 17:23:38

348

Views

Proving injectivity of a certain polynomial function

Published on 25 Mar 2026 - 17:23

score 162 · Answer 15 · 2026-03-26 09:58:03

162

Views

A conjecture involving the equation $x^n+y^n+z^n= (x+y)^n$

Published on 26 Mar 2026 - 9:58

List Question

How to find the vertex of a parabola given by the bivariate quadratic $(ax+my+n)^2-4ay=0$

Homomorphism and irreducible polynomials

Let $f(t)$ be a polynomial. When $\sum_{k=1}^n f(\sin{kx_0})$ is bounded for any $x_0$?

Find the value of $x^2 + y^2 + z^2$.

If $α, β, γ$ are roots of $x^3 - x -1 = 0$, then find the value of $\frac{1+α}{1-α} + \frac{1+β}{1-β} + \frac{1+γ}{1-γ}$.

How to estimate the number of roots and their multiplicity in some interval when polynomial has fractional powers?

Greatest common divisors of a family of polynomials

is the below expression a polynomial?

Can we say there is exactly one root of $x^4-7x^3+9=0$ in $(1, \:\: 2)$?

Literature about the equation $x^m+y^m+z^m=(x+y)^m$

Show $x^{p^n}-x$ has distinct roots over a field of characteristic $p$.

$f$ irreducible iff Galois group acts transitively on roots

Is concept of Repeated root only for Polynomials

Proving injectivity of a certain polynomial function

A conjecture involving the equation $x^n+y^n+z^n= (x+y)^n$

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