Question

Prove: If $y_0,...,y_n$ are pairwise different real numbers, then the vectors $f_{y_0},...,f_{y_n}$ form a basis of the dual space $V^*$

score 56 · Answer 1 · 2026-03-28 02:42:33

56

Views

Prove: If $y_0,...,y_n$ are pairwise different real numbers, then the vectors $f_{y_0},...,f_{y_n}$ form a basis of the dual space $V^*$

Published on 28 Mar 2026 - 2:42

score 1.3k · Answer 2 · 2026-03-25 16:13:37

1.3k

Views

Prove that $x^{3m}+x^{3n+1}+x^{3p+2}$ is divisible by $x^2+x+1$

Published on 25 Mar 2026 - 16:13

score 53 · Answer 3 · 2018-05-13 17:15:03

53

Views

Factorise polynomial $x^{5n} + x^n + 1$

Published on 13 May 2018 - 17:15

score 121 · Answer 4 · 2026-03-22 05:42:58

121

Views

Prove $(a+b^2)(b+c^2)(c+a^2)\le13+abc(1-2abc)$ for $a + b + c = 3$

Published on 22 Mar 2026 - 5:42

score 44 · Answer 5 · 2026-03-30 13:43:34

44

Views

Irreducible polynomials have no zeroes with multiplicity $\geq 1$

Published on 30 Mar 2026 - 13:43

score 307 · Answer 6 · 2026-03-30 10:40:49

307

Views

Number of real roots of a polynomial

Published on 30 Mar 2026 - 10:40

score 350 · Answer 7 · 2026-03-30 10:42:31

350

Views

Fundamental Theorem of Algebra proof, for max real roots of real polynomials - using only high school algebra-precalc?

Published on 30 Mar 2026 - 10:42

score 408 · Answer 8 · 2026-03-24 22:06:47

408

Views

Can we write elliptic integrals to integrate arbitrary 4th degree polynomial as a programming function?

Published on 24 Mar 2026 - 22:06

score 135 · Answer 9 · 2026-03-30 13:37:19

135

Views

Which polynomials are "transitive" with respect to $\mathbb{Z}/r\mathbb{Z}$?

Published on 30 Mar 2026 - 13:37

score 46 · Answer 10 · 2026-03-26 02:44:38

46

Views

Algebra, doubts regarding terms in binomials

Published on 26 Mar 2026 - 2:44

score 608 · Answer 11 · 2026-03-25 04:40:14

608

Views

The symmetric algebra of a vector space is generated by powers

Published on 25 Mar 2026 - 4:40

score 225 · Answer 12 · 2026-03-25 06:51:36

225

Views

A polynomial map between Banach spaces is Fréchet differentiable

Published on 25 Mar 2026 - 6:51

score 111 · Answer 13 · 2026-03-25 17:52:10

111

Views

Prove that $(n-2m)x^n-nx^{n-m}+nx^m-(n-2m)$ is divisble by $(x-1)^3$

Published on 25 Mar 2026 - 17:52

score 95 · Answer 14 · 2026-03-25 07:41:37

95

Views

Eliminate $x,y,z$ from equations

Published on 25 Mar 2026 - 7:41

score 56 · Answer 15 · 2026-03-25 09:50:52

56

Views

A minimal polynomial problem that's bothering me

Published on 25 Mar 2026 - 9:50

List Question

Prove: If $y_0,...,y_n$ are pairwise different real numbers, then the vectors $f_{y_0},...,f_{y_n}$ form a basis of the dual space $V^*$

Prove that $x^{3m}+x^{3n+1}+x^{3p+2}$ is divisible by $x^2+x+1$

Factorise polynomial $x^{5n} + x^n + 1$

Prove $(a+b^2)(b+c^2)(c+a^2)\le13+abc(1-2abc)$ for $a + b + c = 3$

Irreducible polynomials have no zeroes with multiplicity $\geq 1$

Number of real roots of a polynomial

Fundamental Theorem of Algebra proof, for max real roots of real polynomials - using only high school algebra-precalc?

Can we write elliptic integrals to integrate arbitrary 4th degree polynomial as a programming function?

Which polynomials are "transitive" with respect to $\mathbb{Z}/r\mathbb{Z}$?

Algebra, doubts regarding terms in binomials

The symmetric algebra of a vector space is generated by powers

A polynomial map between Banach spaces is Fréchet differentiable

Prove that $(n-2m)x^n-nx^{n-m}+nx^m-(n-2m)$ is divisble by $(x-1)^3$

Eliminate $x,y,z$ from equations

A minimal polynomial problem that's bothering me

Trending Questions

Popular # Hahtags

Popular Questions