Finding real $a$, $b$, $c$ such that $x^5 - 2x^4 + ax^3 + bx^2 - 2x + c$ has $1+i$ as a zero, and one negative integer as a zero with multiplicity $2$

score 548 · Answer 6 · 2026-03-25 09:33:46

548

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Algorithm for regular continued fraction of a square root

Published on 25 Mar 2026 - 9:33

score 39 · Answer 7 · 2019-01-25 14:31:55

39

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Questions about some special classes of polynomials

Published on 25 Jan 2019 - 14:31

score 43 · Answer 8 · 2026-03-26 12:32:14

43

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Complex Roots question.

Published on 26 Mar 2026 - 12:32

score 39 · Answer 9 · 2026-03-26 06:25:56

39

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For which values of $a$ we will get two different roots?

Published on 26 Mar 2026 - 6:25

score 307 · Answer 10 · 2026-03-25 13:58:11

307

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For $c\in\mathbb{F}_p^*$, the cubic $t^3-3ct^2-3t+c$ has exactly one root $r\in\mathbb{F}_p$. Express $r$ in terms of $c$ without cubic roots.

Published on 25 Mar 2026 - 13:58

score 268 · Answer 11 · 2019-01-29 05:03:19

268

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Finding number of real roots of an equation

Published on 29 Jan 2019 - 5:03

score 105 · Answer 12 · 2026-03-25 13:55:32

105

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Roots of polynomials and their formulae relating to coefficients

Published on 25 Mar 2026 - 13:55

score 179 · Answer 13 · 2026-03-25 11:09:51

179

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Proving electrostatic analogy for root locus

Published on 25 Mar 2026 - 11:09

score 92 · Answer 14 · 2026-03-27 21:59:33

92

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Extending Cauchy-Schwarz to any $p \in (1,\infty)$

Published on 27 Mar 2026 - 21:59

score 915 · Answer 15 · 2019-01-30 22:28:54

915

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number of roots of a multilinear polynomial over a finite field

Published on 30 Jan 2019 - 22:28

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