Question

Monic polynomials whose roots are their remaining coefficients

score 2.5k · Answer 1 · 2026-04-13 11:18:57

2.5k

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Monic polynomials whose roots are their remaining coefficients

Published on 13 Apr 2026 - 11:18

score 1.2k · Answer 2 · 2026-04-10 05:30:26

1.2k

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Proving Sturm's separation theorem: if $y_1, y_2$ are fundamental solutions of $y''+py+q=0$, their zeros alternate.

Published on 10 Apr 2026 - 5:30

score 1.2k · Answer 3 · 2026-04-11 14:51:00

1.2k

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Finding roots of a Legendre polynomial

Published on 11 Apr 2026 - 14:51

score 253 · Answer 4 · 2026-04-17 07:51:09

253

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Roots of a polynomial having arbitrary constant term

Published on 17 Apr 2026 - 7:51

score 74 · Answer 5 · 2026-05-05 07:52:58

74

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Poles and Zeros of a Linear Transform

Published on 05 May 2026 - 7:52

score 181 · Answer 6 · 2026-04-17 04:20:27

181

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Calculate $ \arctan(x_{1}) \cdot \arctan(x_{2}) $

Published on 17 Apr 2026 - 4:20

score 118 · Answer 7 · 2026-04-12 06:05:43

118

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Roots of a polynomial equation

Published on 12 Apr 2026 - 6:05

score 254 · Answer 8 · 2026-04-16 11:23:48

254

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Root of a polynomial $p(x)$ and asymptotic behaviour of the Taylor series of $\frac{1}{p(x)}$

Published on 16 Apr 2026 - 11:23

score 10.1k · Answer 9 · 2026-04-16 09:08:57

10.1k

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Prove that the equation $x^3-x-1=0$ has only one real root

Published on 16 Apr 2026 - 9:08

score 64 · Answer 10 · 2026-04-14 07:56:01

64

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Find the value of $k$ so that the two roots of a quadratic equation are between $-2$ and $4$

Published on 14 Apr 2026 - 7:56

score 107 · Answer 11 · 2026-04-15 06:55:12

107

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Reconstructing a function from its zero set

Published on 15 Apr 2026 - 6:55

score 57 · Answer 12 · 2026-04-10 15:49:23

57

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Equation with absolute values (another)

Published on 10 Apr 2026 - 15:49

score 2.4k · Answer 13 · 2026-04-13 09:37:15

2.4k

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Total number of roots of a polynomial of degree $n$ over a ring $R$

Published on 13 Apr 2026 - 9:37

score 40 · Answer 14 · 2026-04-10 17:15:36

40

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Communicating the difficulty of obtaining an explicit root of a polynomial function in an academic paper

Published on 10 Apr 2026 - 17:15

score 64 · Answer 15 · 2026-04-16 14:34:16

64

Views

Calculate high-order roots by hand

Published on 16 Apr 2026 - 14:34

List Question

Monic polynomials whose roots are their remaining coefficients

Proving Sturm's separation theorem: if $y_1, y_2$ are fundamental solutions of $y''+py+q=0$, their zeros alternate.

Finding roots of a Legendre polynomial

Roots of a polynomial having arbitrary constant term

Poles and Zeros of a Linear Transform

Calculate $ \arctan(x_{1}) \cdot \arctan(x_{2}) $

Roots of a polynomial equation

Root of a polynomial $p(x)$ and asymptotic behaviour of the Taylor series of $\frac{1}{p(x)}$

Prove that the equation $x^3-x-1=0$ has only one real root

Find the value of $k$ so that the two roots of a quadratic equation are between $-2$ and $4$

Reconstructing a function from its zero set

Equation with absolute values (another)

Total number of roots of a polynomial of degree $n$ over a ring $R$

Communicating the difficulty of obtaining an explicit root of a polynomial function in an academic paper

Calculate high-order roots by hand

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