Question

Finding the real roots of a set of multivariate polynomial in an interval

score 19 · Answer 1 · 2026-03-25 14:26:07

19

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Finding the real roots of a set of multivariate polynomial in an interval

Published on 25 Mar 2026 - 14:26

score 114 · Answer 2 · 2026-04-13 23:01:41

114

Views

Solving $2mx^{2m+1}-(2m+1)x^{2m}+1=0$

Published on 13 Apr 2026 - 23:01

score 126 · Answer 3 · 2026-04-11 05:04:34

126

Views

how to find the roots for this equation?

Published on 11 Apr 2026 - 5:04

score 80 · Answer 4 · 2026-04-14 08:25:53

80

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Why is it that: "If polynomials have integer coefficients, the roots of those polynomials will be a divisor (factor) of the constant term"?

Published on 14 Apr 2026 - 8:25

score 60 · Answer 5 · 2026-04-10 12:20:29

60

Views

Understanding and Visualizing Complex Roots According to the Fundamental Theorem of Algebra

Published on 10 Apr 2026 - 12:20

score 58 · Answer 6 · 2026-04-16 16:25:41

58

Views

Show that if $x=-1$ is a solution of $x^{3}-2bx^{2}-a^{2}x+b^{2}=0$, then $1-\sqrt{2}\le b\le1+\sqrt{2}$

Published on 16 Apr 2026 - 16:25

score 4.1k · Answer 7 · 2026-04-15 12:30:18

4.1k

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Is the notion "If a polynomial has small coefficients (relative to the exponent), then it has small roots" true?

Published on 15 Apr 2026 - 12:30

score 38 · Answer 8 · 2026-04-13 19:34:31

38

Views

Location of roots of a truncated series

Published on 13 Apr 2026 - 19:34

score 102 · Answer 9 · 2026-04-15 21:54:00

102

Views

Solving $(z+1)^5 = z$ ($z\in\mathbb{C}$)

Published on 15 Apr 2026 - 21:54

score 33 · Answer 10 · 2026-04-16 22:55:02

33

Views

Show that there exists a zero $α$ of $p(x)$ satisfying $|α-c|≤n|p(c)|/|p'(c)|$.

Published on 16 Apr 2026 - 22:55

score 103 · Answer 11 · 2026-04-16 08:41:24

103

Views

Irreducible $p(x) \in \mathbb{Q}[X]$ with roots $r, s$ such that $rs = 1$.

Published on 16 Apr 2026 - 8:41

score 31 · Answer 12 · 2026-04-14 02:34:58

31

Views

Cardinality of the zero locus of a degree 2 homogeneous polynomial on Z/2Z: avoiding Chevalley-Warning

Published on 14 Apr 2026 - 2:34

score 14 · Answer 13 · 2026-04-13 11:42:53

14

Views

Existence of solutions of quadratic equations with multiple variables

Published on 13 Apr 2026 - 11:42

score 149 · Answer 14 · 2026-04-14 00:59:27

149

Views

How many solutions can $x^4=-1$ have on a field of characteristic $0$?

Published on 14 Apr 2026 - 0:59

score 88 · Answer 15 · 2026-04-17 10:49:22

88

Views

How to elegantly solve $\left(x^2-\frac1{x^2}\right)^2+2\left(x+\frac1{x}\right)^2 = 2024$?

Published on 17 Apr 2026 - 10:49

List Question

Finding the real roots of a set of multivariate polynomial in an interval

Solving $2mx^{2m+1}-(2m+1)x^{2m}+1=0$

how to find the roots for this equation?

Why is it that: "If polynomials have integer coefficients, the roots of those polynomials will be a divisor (factor) of the constant term"?

Understanding and Visualizing Complex Roots According to the Fundamental Theorem of Algebra

Show that if $x=-1$ is a solution of $x^{3}-2bx^{2}-a^{2}x+b^{2}=0$, then $1-\sqrt{2}\le b\le1+\sqrt{2}$

Is the notion "If a polynomial has small coefficients (relative to the exponent), then it has small roots" true?

Location of roots of a truncated series

Solving $(z+1)^5 = z$ ($z\in\mathbb{C}$)

Show that there exists a zero $α$ of $p(x)$ satisfying $|α-c|≤n|p(c)|/|p'(c)|$.

Irreducible $p(x) \in \mathbb{Q}[X]$ with roots $r, s$ such that $rs = 1$.

Cardinality of the zero locus of a degree 2 homogeneous polynomial on Z/2Z: avoiding Chevalley-Warning

Existence of solutions of quadratic equations with multiple variables

How many solutions can $x^4=-1$ have on a field of characteristic $0$?

How to elegantly solve $\left(x^2-\frac1{x^2}\right)^2+2\left(x+\frac1{x}\right)^2 = 2024$?

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