List questions from polynomials

Published on 10 Apr 2026 - 5:12

184

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Find a non-trivial polynomial which has all integers as zeros modulo $p$

Published on 16 Apr 2026 - 1:10

126

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Is there a Euclidean algorithm in $k[x,x^{-1},y]$?

Published on 11 Apr 2026 - 23:18

118

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Are all non-real complex roots of $f(x)=x^n-kx^{n-1}-kx^{n-2}-\cdots-kx-k$ have magnitudes less than 1?

Published on 14 Apr 2026 - 18:47

961

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Find the number of ordered pairs of positive integers (x,y) that satisfy $x^{2} - xy + y^{2} = 49$

Published on 17 Apr 2026 - 2:57

469

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Taylor Polynomial of $e^x$

Published on 16 Apr 2026 - 0:31

309

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Approximating function for the root of quintic polynomial

Published on 12 Apr 2026 - 6:12

156

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every irreducible component of $Y \cap H$ has dimension $r-1$

Published on 11 Apr 2026 - 23:08

47

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Find every $a \in \mathbb{R}$ such that $f = X^{2n+1} - (2n+1)X + a$ has a repeated root

Published on 16 Apr 2026 - 8:29

92

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Determine $M^\mathcal{A}_\mathcal{A}(f)$ and $M_\mathcal{B}^\mathcal{A}(f)$; $f:V\to V$

Published on 16 Apr 2026 - 18:48

271

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Taylor polynomials respect derivatives

Published on 13 Apr 2026 - 15:46

110

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Symmetric Polynomials: Binomial identity

Published on 10 Apr 2026 - 20:38

242

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Show that $f(x,y) - f(y,x)$ is divisible by $ y-x \in F[x,y] $

Published on 15 Apr 2026 - 0:26

58

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Complex polynomial

Published on 09 Apr 2026 - 23:49

399

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Is there algebraic functions with infinitely many roots?

Published on 11 Apr 2026 - 3:09

List Question

Natural linear spline function representation

Find a non-trivial polynomial which has all integers as zeros modulo $p$

Is there a Euclidean algorithm in $k[x,x^{-1},y]$?

Are all non-real complex roots of $f(x)=x^n-kx^{n-1}-kx^{n-2}-\cdots-kx-k$ have magnitudes less than 1?

Find the number of ordered pairs of positive integers (x,y) that satisfy $x^{2} - xy + y^{2} = 49$

Taylor Polynomial of $e^x$

Approximating function for the root of quintic polynomial

every irreducible component of $Y \cap H$ has dimension $r-1$

Find every $a \in \mathbb{R}$ such that $f = X^{2n+1} - (2n+1)X + a$ has a repeated root

Determine $M^\mathcal{A}_\mathcal{A}(f)$ and $M_\mathcal{B}^\mathcal{A}(f)$; $f:V\to V$

Taylor polynomials respect derivatives

Symmetric Polynomials: Binomial identity

Show that $f(x,y) - f(y,x)$ is divisible by $ y-x \in F[x,y] $

Complex polynomial

Is there algebraic functions with infinitely many roots?

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