Question

How do we know that the only polynomials $f$ satisfying $f(\lambda x_0,\ldots,\lambda x_n) = f( x_0,\ldots,x_n) $ are the constant polynomials?

score 153 · Answer 1 · 2026-03-26 06:30:48

153

Views

How do we know that the only polynomials $f$ satisfying $f(\lambda x_0,\ldots,\lambda x_n) = f( x_0,\ldots,x_n) $ are the constant polynomials?

Published on 26 Mar 2026 - 6:30

score 78 · Answer 2 · 2026-03-27 10:30:16

78

Views

Finding a generating function

Published on 27 Mar 2026 - 10:30

score 190 · Answer 3 · 2018-09-18 18:18:28

190

Views

If $4x - 3$ is a factor of $4x^3 - 23x^2 + px + 27$, find the value of $p$.

Published on 18 Sep 2018 - 18:18

score 257 · Answer 4 · 2026-04-01 09:54:06

257

Views

What is the proportion of primes for which a polynomial has a root

Published on 01 Apr 2026 - 9:54

score 45 · Answer 5 · 2026-03-27 03:17:37

45

Views

What is $t_k$ in this context?

Published on 27 Mar 2026 - 3:17

score 106 · Answer 6 · 2026-03-25 09:30:00

106

Views

How to compute $\prod_{i=1}^ny'{_i}^\left(\prod_{\genfrac{}{}{0}{1}{j\not=i}{j=1}}^n\frac{x_j}{x_j-x_i}\right)$with modular arithmetic for Lagrange

Published on 25 Mar 2026 - 9:30

score 188 · Answer 7 · 2018-09-19 08:18:47

188

Views

Is there a polynomial $f$ with integer coefficients such that $f(1)=1$, $f(2)=2$, $f(3)=3$, $f(4)=4$, and $f(5)=17$?

Published on 19 Sep 2018 - 8:18

score 3.9k · Answer 8 · 2018-09-19 10:37:21

3.9k

Views

Solving $x^4 -10x^3 + 26x^2 -10x +1 = 0$.

Published on 19 Sep 2018 - 10:37

score 46 · Answer 9 · 2026-03-26 02:53:56

46

Views

Deriving the universal cubic Bezier equations from the "start", "control" and "end" points

Published on 26 Mar 2026 - 2:53

score 153 · Answer 10 · 2026-03-25 02:59:31

153

Views

Irreducible Polynomial definition

Published on 25 Mar 2026 - 2:59

score 506 · Answer 11 · 2026-03-27 10:31:28

506

Views

If $\sum\limits_{n=1}^{\infty}\frac{1}{p(n)}\in\mathbb{Q}$, is $\sum\limits_{n=1}^{\infty}\frac{n}{p(n)}\in\mathbb{Q}$?

Published on 27 Mar 2026 - 10:31

score 154 · Answer 12 · 2026-03-27 16:26:13

154

Views

Characterization of Polynomial In terms of Derivative

Published on 27 Mar 2026 - 16:26

score 166 · Answer 13 · 2026-03-25 22:04:18

166

Views

Is there a fixed-point theorem that can be applied to a ring endomorphism of $k[x,y]$?

Published on 25 Mar 2026 - 22:04

score 433 · Answer 14 · 2018-09-20 14:17:58

433

Views

An irreducible polynomial of degree n over field is irreducible over extension of degree m if m and n are coprime

Published on 20 Sep 2018 - 14:17

score 74 · Answer 15 · 2018-09-20 17:41:39

74

Views

On symmetric expressions of polynomials.

Published on 20 Sep 2018 - 17:41

List Question

How do we know that the only polynomials $f$ satisfying $f(\lambda x_0,\ldots,\lambda x_n) = f( x_0,\ldots,x_n) $ are the constant polynomials?

Finding a generating function

If $4x - 3$ is a factor of $4x^3 - 23x^2 + px + 27$, find the value of $p$.

What is the proportion of primes for which a polynomial has a root

What is $t_k$ in this context?

How to compute $\prod_{i=1}^ny'{_i}^\left(\prod_{\genfrac{}{}{0}{1}{j\not=i}{j=1}}^n\frac{x_j}{x_j-x_i}\right)$with modular arithmetic for Lagrange

Is there a polynomial $f$ with integer coefficients such that $f(1)=1$, $f(2)=2$, $f(3)=3$, $f(4)=4$, and $f(5)=17$?

Solving $x^4 -10x^3 + 26x^2 -10x +1 = 0$.

Deriving the universal cubic Bezier equations from the "start", "control" and "end" points

Irreducible Polynomial definition

If $\sum\limits_{n=1}^{\infty}\frac{1}{p(n)}\in\mathbb{Q}$, is $\sum\limits_{n=1}^{\infty}\frac{n}{p(n)}\in\mathbb{Q}$?

Characterization of Polynomial In terms of Derivative

Is there a fixed-point theorem that can be applied to a ring endomorphism of $k[x,y]$?

An irreducible polynomial of degree n over field is irreducible over extension of degree m if m and n are coprime

On symmetric expressions of polynomials.

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