Question

Prove the product of a polynomial function of the roots of another polynomial is an integer.

score 364 · Answer 1 · 2026-04-12 00:44:59

364

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Prove the product of a polynomial function of the roots of another polynomial is an integer.

Published on 12 Apr 2026 - 0:44

score 135 · Answer 2 · 2016-09-01 17:00:49

135

Views

Show product of $(r^5-r+2)$ over the 5 roots of $x^5+x^3+1=0$ is $1$

Published on 01 Sep 2016 - 17:00

score 34 · Answer 3 · 2026-04-04 18:30:54

34

Views

Is there an example of "unfindable" interaction function?

Published on 04 Apr 2026 - 18:30

score 72 · Answer 4 · 2026-04-10 20:47:07

72

Views

Complex t in the Argument of the Zeta Function

Published on 10 Apr 2026 - 20:47

score 157 · Answer 5 · 2026-04-09 19:29:31

157

Views

How did the Babylonians derive the Secant Method without algebra?

Published on 09 Apr 2026 - 19:29

score 117 · Answer 6 · 2026-04-12 11:37:59

117

Views

How would you solve this polynomial?

Published on 12 Apr 2026 - 11:37

score 1.1k · Answer 7 · 2016-09-05 21:36:53

1.1k

Views

How many real solutions does this equation have? $x^2 + \cos x = 15$

Published on 05 Sep 2016 - 21:36

score 76 · Answer 8 · 2016-09-07 13:05:36

76

Views

$C^{\infty}$ functions and isolated zeroes

Published on 07 Sep 2016 - 13:05

score 85 · Answer 9 · 2016-09-09 21:08:32

85

Views

Find $\lfloor z \rfloor$

Published on 09 Sep 2016 - 21:08

score 99 · Answer 10 · 2016-09-10 19:28:45

99

Views

Roots of a polynomial depending analytically on a parameter.

Published on 10 Sep 2016 - 19:28

score 179 · Answer 11 · 2026-04-03 04:19:40

179

Views

Why don't $\sqrt{ab}=\sqrt{a}\sqrt{b}$ holds true when one of $a$ & $b$ is imaginary number?

Published on 03 Apr 2026 - 4:19

score 113 · Answer 12 · 2026-04-11 06:16:32

113

Views

In which direction to accelerate to pass through the origin

Published on 11 Apr 2026 - 6:16

score 1.1k · Answer 13 · 2026-04-11 18:17:15

1.1k

Views

Show that this polynomial in two variables has no integer solutions

Published on 11 Apr 2026 - 18:17

score 2.5k · Answer 14 · 2016-09-11 09:56:39

2.5k

Views

Find roots of $f = e^{2z}-1,$ where $z = x+iy$

Published on 11 Sep 2016 - 9:56

score 3.4k · Answer 15 · 2016-09-11 11:30:09

3.4k

Views

Tangents and roots to simultaneous equations.

Published on 11 Sep 2016 - 11:30

List Question

Prove the product of a polynomial function of the roots of another polynomial is an integer.

Show product of $(r^5-r+2)$ over the 5 roots of $x^5+x^3+1=0$ is $1$

Is there an example of "unfindable" interaction function?

Complex t in the Argument of the Zeta Function

How did the Babylonians derive the Secant Method without algebra?

How would you solve this polynomial?

How many real solutions does this equation have? $x^2 + \cos x = 15$

$C^{\infty}$ functions and isolated zeroes

Find $\lfloor z \rfloor$

Roots of a polynomial depending analytically on a parameter.

Why don't $\sqrt{ab}=\sqrt{a}\sqrt{b}$ holds true when one of $a$ & $b$ is imaginary number?

In which direction to accelerate to pass through the origin

Show that this polynomial in two variables has no integer solutions

Find roots of $f = e^{2z}-1,$ where $z = x+iy$

Tangents and roots to simultaneous equations.

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