Question

Polynomial Extrapolation Error Resource

score 234 · Answer 1 · 2026-04-09 21:31:12

234

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Polynomial Extrapolation Error Resource

Published on 09 Apr 2026 - 21:31

score 274 · Answer 2 · 2026-04-17 01:32:09

274

Views

Find roots of 3 degree polynomial such that they are in geometric progression

Published on 17 Apr 2026 - 1:32

score 109 · Answer 3 · 2026-04-16 07:04:52

109

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Around Gauss' Lemma

Published on 16 Apr 2026 - 7:04

score 399 · Answer 4 · 2026-04-16 12:47:25

399

Views

Show that $z^5 - z +16$ has two roots in the right half plane

Published on 16 Apr 2026 - 12:47

score 2.3k · Answer 5 · 2026-04-16 02:01:35

2.3k

Views

Orthogonal and orthonormal basis in the vector space of polynomials

Published on 16 Apr 2026 - 2:01

score 114 · Answer 6 · 2026-04-15 23:25:21

114

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If $x$ and $y$ are integers such that $5 \mid x^2 - 2xy - y$ and $5 \mid xy - 2y^2 - x$, prove that $5 \mid 2x^2 + y^2 + 2x + y$.

Published on 15 Apr 2026 - 23:25

score 71 · Answer 7 · 2026-04-11 16:59:12

71

Views

Problems to read/write the polynomial equation

Published on 11 Apr 2026 - 16:59

score 52 · Answer 8 · 2026-04-17 00:23:01

52

Views

Checking for real roots in biquadratic polynomial.

Published on 17 Apr 2026 - 0:23

score 256 · Answer 9 · 2026-04-09 09:28:08

256

Views

Is there a way to reduce a specific quintic to cubic?

Published on 09 Apr 2026 - 9:28

score 69 · Answer 10 · 2026-04-15 14:08:05

69

Views

For $P$ a non constant polynomial, if $[a, b]$ contains no critical points of $P$, can we determine $P^{-1}([a, b])$?

Published on 15 Apr 2026 - 14:08

score 255 · Answer 11 · 2026-04-15 18:28:24

255

Views

$(x^3 + \frac{a}{x^2})^5 = -270$, find $a$

Published on 15 Apr 2026 - 18:28

score 105 · Answer 12 · 2026-04-16 16:10:26

105

Views

Determine all pairs $(p,q)$ of integer numbers for which all zeros of $x^2+px+q$ and $x^2+qx+p$ are integers.

Published on 16 Apr 2026 - 16:10

score 81 · Answer 13 · 2026-04-11 13:00:10

81

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Is $y^3 + ny + 1$ is reducible over $\mathbb{Z}$ for infinitely many $n $? Yes/NO

Published on 11 Apr 2026 - 13:00

score 1.4k · Answer 14 · 2026-04-15 21:10:16

1.4k

Views

Two holes in the graph when dividing polynomials?

Published on 15 Apr 2026 - 21:10

score 174 · Answer 15 · 2026-04-15 14:18:57

174

Views

Group algebra and polynomial algebra.

Published on 15 Apr 2026 - 14:18

List Question

Polynomial Extrapolation Error Resource

Find roots of 3 degree polynomial such that they are in geometric progression

Around Gauss' Lemma

Show that $z^5 - z +16$ has two roots in the right half plane

Orthogonal and orthonormal basis in the vector space of polynomials

If $x$ and $y$ are integers such that $5 \mid x^2 - 2xy - y$ and $5 \mid xy - 2y^2 - x$, prove that $5 \mid 2x^2 + y^2 + 2x + y$.

Problems to read/write the polynomial equation

Checking for real roots in biquadratic polynomial.

Is there a way to reduce a specific quintic to cubic?

For $P$ a non constant polynomial, if $[a, b]$ contains no critical points of $P$, can we determine $P^{-1}([a, b])$?

$(x^3 + \frac{a}{x^2})^5 = -270$, find $a$

Determine all pairs $(p,q)$ of integer numbers for which all zeros of $x^2+px+q$ and $x^2+qx+p$ are integers.

Is $y^3 + ny + 1$ is reducible over $\mathbb{Z}$ for infinitely many $n $? Yes/NO

Two holes in the graph when dividing polynomials?

Group algebra and polynomial algebra.

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