Polynomials are expressions like $15x^3 - 14x^2 + 8$. Questions tagged with this concern common operations on polynomials, like adding, multiplying, polynomial long division, factoring and solving for roots.

learn more… | top users | synonyms

5
votes
0answers
118 views
+50

How control small perturbations keeping a zero of a polynomial?

Let $P : \mathbb{R}^n \to \mathbb{R}^m$ by a polynomial function. Let $x_0 \in \mathbb{R}^n$ be a zero of $P$ such that the graph of $P$ crosses $\mathbb{R}^n \times \{ \vec{0}\}$ around ...
1
vote
1answer
56 views
+100

Using resultants to check if multivariate polynomials have a common factor - is my proof correct?

Proposition: Let $f, g \in \mathbb R[x,y,z]$. Then the condition that $f, g$ have a common polynomial factor is an algebraic condition on their coefficients. By algebraic condition, I mean there is a ...