Question

Inequality on Root of Polynomials

score 98 · Answer 1 · 2026-04-12 17:41:19

98

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Inequality on Root of Polynomials

Published on 12 Apr 2026 - 17:41

score 124 · Answer 2 · 2026-04-16 17:44:21

124

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$ x^{2} - 2px -5q = (x-m)(x-n)$ and $ x^{2} - 2mx -5n = (x-p)(x-q)$ What is $p+q+m+n$?

Published on 16 Apr 2026 - 17:44

score 136 · Answer 3 · 2026-04-13 14:47:21

136

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Find the polynomial equation when I know the roots

Published on 13 Apr 2026 - 14:47

score 220 · Answer 4 · 2026-04-11 13:01:39

220

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Fourier transform of matrix over polynomial field?

Published on 11 Apr 2026 - 13:01

score 1.8k · Answer 5 · 2026-04-14 13:17:20

1.8k

Views

Solving 5th degree polynomial

Published on 14 Apr 2026 - 13:17

score 48 · Answer 6 · 2026-04-14 08:30:06

48

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With linear algebra, prove polynomial decomposition under particular conditions

Published on 14 Apr 2026 - 8:30

score 81 · Answer 7 · 2026-04-09 21:14:04

81

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What is a criterion that a polynomial has only positive coefficients?

Published on 09 Apr 2026 - 21:14

score 73 · Answer 8 · 2026-04-16 15:59:36

73

Views

If $x,y,z$ are real numbers satisfying$x/(y+z) +y/(z+x) +z/(x+y) =1$ then $x^2/(y+z) +y^2/(z+x)+z^2/(x+y)=$

Published on 16 Apr 2026 - 15:59

score 1.4k · Answer 9 · 2026-04-15 12:59:54

1.4k

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What will be the minimum value of $2x^2 + 2y^2 + 4z^2 - 2xy - 4yz -4x - 2z + 15$?

Published on 15 Apr 2026 - 12:59

score 46 · Answer 10 · 2026-04-16 11:14:05

46

Views

Confirming my answer

Published on 16 Apr 2026 - 11:14

score 216 · Answer 11 · 2026-04-16 09:09:47

216

Views

Finding $k$ such that $(x^2 + kx + 1)$ is a factor of $(x^4 - 12 x^2 + 8 x + 3)$

Published on 16 Apr 2026 - 9:09

score 61 · Answer 12 · 2026-04-14 00:43:08

61

Views

General expression for ratio of polynomials of equal degree and nonzero coefficients

Published on 14 Apr 2026 - 0:43

score 70 · Answer 13 · 2026-04-12 07:26:49

70

Views

How can I find the value of the unknown X using any algebraic method? Not numerical methods and programming.

Published on 12 Apr 2026 - 7:26

score 351 · Answer 14 · 2026-04-11 07:36:01

351

Views

Solving a complex polynomial including a conjugate

Published on 11 Apr 2026 - 7:36

score 171 · Answer 15 · 2026-04-13 21:38:26

171

Views

Is there a polynomial $p(x)$ with integer coefficients such that $p(2013)=1789$ and $p(1515)=1830$?

Published on 13 Apr 2026 - 21:38

List Question

Inequality on Root of Polynomials

$ x^{2} - 2px -5q = (x-m)(x-n)$ and $ x^{2} - 2mx -5n = (x-p)(x-q)$ What is $p+q+m+n$?

Find the polynomial equation when I know the roots

Fourier transform of matrix over polynomial field?

Solving 5th degree polynomial

With linear algebra, prove polynomial decomposition under particular conditions

What is a criterion that a polynomial has only positive coefficients?

If $x,y,z$ are real numbers satisfying$x/(y+z) +y/(z+x) +z/(x+y) =1$ then $x^2/(y+z) +y^2/(z+x)+z^2/(x+y)=$

What will be the minimum value of $2x^2 + 2y^2 + 4z^2 - 2xy - 4yz -4x - 2z + 15$?

Confirming my answer

Finding $k$ such that $(x^2 + kx + 1)$ is a factor of $(x^4 - 12 x^2 + 8 x + 3)$

General expression for ratio of polynomials of equal degree and nonzero coefficients

How can I find the value of the unknown X using any algebraic method? Not numerical methods and programming.

Solving a complex polynomial including a conjugate

Is there a polynomial $p(x)$ with integer coefficients such that $p(2013)=1789$ and $p(1515)=1830$?

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