Question

Do two polynomials $A$ and $B$ share a root when $AP+BQ=0$ for some polynomials $(P,Q) \neq (0, 0)$ with $\deg P < \deg B$, $\deg Q < \deg A$?

score 213 · Answer 1 · 2026-02-23 09:00:10

213

Views

Do two polynomials $A$ and $B$ share a root when $AP+BQ=0$ for some polynomials $(P,Q) \neq (0, 0)$ with $\deg P < \deg B$, $\deg Q < \deg A$?

Published on 23 Feb 2026 - 9:00

score 41 · Answer 2 · 2026-02-23 08:57:49

41

Views

familiy of polynomials separable

Published on 23 Feb 2026 - 8:57

score 258 · Answer 3 · 2026-02-23 08:57:49

258

Views

Reference request for the Elimination Properties of Resultants

Published on 23 Feb 2026 - 8:57

score 51 · Answer 4 · 2026-02-23 08:53:09

51

Views

rational function with distinct roots

Published on 23 Feb 2026 - 8:53

score 48 · Answer 5 · 2026-02-23 08:53:08

48

Views

Merging polynomials together

Published on 23 Feb 2026 - 8:53

score 167 · Answer 6 · 2026-02-23 09:03:42

167

Views

Alternative proof for multiplicativity of resultant?

Published on 23 Feb 2026 - 9:03

score 168 · Answer 7 · 2026-02-23 09:03:42

168

Views

What is the geometric intuition for the Sylvester matrix?

Published on 23 Feb 2026 - 9:03

score 188 · Answer 8 · 2026-02-23 09:03:49

188

Views

A vector represents a force with its magnitude and direction but could it also represent the time it was applied for?

Published on 23 Feb 2026 - 9:03

score 228 · Answer 9 · 2026-02-23 08:58:17

228

Views

How can I show two polynomials common roots with a given matix and resultant?

Published on 23 Feb 2026 - 8:58

score 58 · Answer 10 · 2026-02-23 09:00:56

58

Views

Prove that $\operatorname{res}(A(ax),B(ax)) = a^{de}\operatorname{res}(A(x),B(x))$, using the fact that $\sum(i-\sigma(i))=0$

Published on 23 Feb 2026 - 9:00

score 101 · Answer 11 · 2026-02-23 09:02:41

101

Views

The best methods for multivariate polynomial equations over finite fields

Published on 23 Feb 2026 - 9:02

score 498 · Answer 12 · 2026-02-23 08:54:52

498

Views

Projection map sends closed sets to closed sets

Published on 23 Feb 2026 - 8:54

score 68 · Answer 13 · 2026-02-23 08:53:09

68

Views

Resultant Understanding

Published on 23 Feb 2026 - 8:53

score 601 · Answer 14 · 2026-02-23 08:59:17

601

Views

How is the resultant obtained from a pair of quadratic polynomials?

Published on 23 Feb 2026 - 8:59

score 71 · Answer 15 · 2026-02-23 08:54:40

71

Views

Three vectors resultant force

Published on 23 Feb 2026 - 8:54

List Question

Do two polynomials $A$ and $B$ share a root when $AP+BQ=0$ for some polynomials $(P,Q) \neq (0, 0)$ with $\deg P < \deg B$, $\deg Q < \deg A$?

familiy of polynomials separable

Reference request for the Elimination Properties of Resultants

rational function with distinct roots

Merging polynomials together

Alternative proof for multiplicativity of resultant?

What is the geometric intuition for the Sylvester matrix?

A vector represents a force with its magnitude and direction but could it also represent the time it was applied for?

How can I show two polynomials common roots with a given matix and resultant?

Prove that $\operatorname{res}(A(ax),B(ax)) = a^{de}\operatorname{res}(A(x),B(x))$, using the fact that $\sum(i-\sigma(i))=0$

The best methods for multivariate polynomial equations over finite fields

Projection map sends closed sets to closed sets

Resultant Understanding

How is the resultant obtained from a pair of quadratic polynomials?

Three vectors resultant force

Trending Questions

Popular # Hahtags

Popular Questions