Question

Solve a polynomial given the value of another polynomial

score 63 · Answer 1 · 2018-08-07 04:56:22

63

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Solve a polynomial given the value of another polynomial

Published on 07 Aug 2018 - 4:56

score 265 · Answer 2 · 2026-04-01 10:14:10

265

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It is known that the equation $ax + (b - 3)= (5a - 1)x+3b$ has more than one solution. Find the value of $100a + 4b$.

Published on 01 Apr 2026 - 10:14

score 367 · Answer 3 · 2026-03-25 13:58:08

367

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Let $m$ be the largest real root of the equation $\frac3{x-3} + \frac5{x-5}+\frac{17}{x-17}+\frac{19}{x-19} =x^2 - 11x -4$ find $m$

Published on 25 Mar 2026 - 13:58

score 290 · Answer 4 · 2026-03-25 04:41:23

290

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State of art numerical algorithm for all complex roots of high degree polynomial in $\mathbb Z[x]$

Published on 25 Mar 2026 - 4:41

score 1k · Answer 5 · 2026-03-31 17:53:27

1k

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Some interesting observations on a sum of reciprocals

Published on 31 Mar 2026 - 17:53

score 70 · Answer 6 · 2026-03-26 17:33:01

70

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Polynomial of $n-1$ degree

Published on 26 Mar 2026 - 17:33

score 165 · Answer 7 · 2026-03-24 22:08:44

165

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how many roots does $p(z) = z^{10} + 100z + 1$ in $\{z:|z|<1\}$

Published on 24 Mar 2026 - 22:08

score 1k · Answer 8 · 2026-03-25 16:13:42

1k

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Splitting field of $x^{21}-1$ over $\mathbb F_3$

Published on 25 Mar 2026 - 16:13

score 59 · Answer 9 · 2026-03-25 20:42:28

59

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Is there a good resource for learning about univariate polynomial equations over the hyperbolic numbers?

Published on 25 Mar 2026 - 20:42

score 667 · Answer 10 · 2026-03-25 03:04:12

667

Views

Symmetric polynomial identities: $(x,y,z)^n$ in terms of $\sigma _1=x+y+z$, $\sigma _2 = xy+yz+xz$ and $\sigma _3 = xyz$

Published on 25 Mar 2026 - 3:04

score 269 · Answer 11 · 2026-03-29 04:41:42

269

Views

Constant Term of a Monic Polynomial in $\mathbb{Z}[x]$ Is Divisible by 3

Published on 29 Mar 2026 - 4:41

score 274 · Answer 12 · 2018-08-09 00:19:55

274

Views

Why are the number of roots of the characteristic equation of a PDE infinite?

Published on 09 Aug 2018 - 0:19

score 167 · Answer 13 · 2026-03-25 07:47:45

167

Views

Polynomial approximation in Sobolev spaces

Published on 25 Mar 2026 - 7:47

score 575 · Answer 14 · 2026-03-25 20:36:33

575

Views

Given the equation $\sum_{k=11}^{99} \left[x + \frac{k}{100} \right] = 765$ find $[10 \, x]$.

Published on 25 Mar 2026 - 20:36

score 87 · Answer 15 · 2026-03-24 22:01:53

87

Views

Using Rouché's theorem to prove the degree of a polynomial over $\mathbb{C}$

Published on 24 Mar 2026 - 22:01

List Question

Solve a polynomial given the value of another polynomial

It is known that the equation $ax + (b - 3)= (5a - 1)x+3b$ has more than one solution. Find the value of $100a + 4b$.

Let $m$ be the largest real root of the equation $\frac3{x-3} + \frac5{x-5}+\frac{17}{x-17}+\frac{19}{x-19} =x^2 - 11x -4$ find $m$

State of art numerical algorithm for all complex roots of high degree polynomial in $\mathbb Z[x]$

Some interesting observations on a sum of reciprocals

Polynomial of $n-1$ degree

how many roots does $p(z) = z^{10} + 100z + 1$ in $\{z:|z|<1\}$

Splitting field of $x^{21}-1$ over $\mathbb F_3$

Is there a good resource for learning about univariate polynomial equations over the hyperbolic numbers?

Symmetric polynomial identities: $(x,y,z)^n$ in terms of $\sigma _1=x+y+z$, $\sigma _2 = xy+yz+xz$ and $\sigma _3 = xyz$

Constant Term of a Monic Polynomial in $\mathbb{Z}[x]$ Is Divisible by 3

Why are the number of roots of the characteristic equation of a PDE infinite?

Polynomial approximation in Sobolev spaces

Given the equation $\sum_{k=11}^{99} \left[x + \frac{k}{100} \right] = 765$ find $[10 \, x]$.

Using Rouché's theorem to prove the degree of a polynomial over $\mathbb{C}$

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