Square-free polynomial
id:
square-free-polynomial-178-267428
title:
Square-free polynomial
text:
In mathematics, a square-free polynomial is a univariate polynomial that has no multiple root in an algebraically closed field containing its coefficients. In characteristic 0, or over a finite field, a univariate polynomial is square free if and only if does not have as a divisor any square of a non-constant polynomial. In applications in physics and engineering, a square-free polynomial is commonly called a polynomial with no repeated roots. The product rule implies that, if p divides f, then
brand slug:
wiki
category slug:
encyclopedia
description:
Polynomial with no repeated root
original url:
https://en.wikipedia.org/wiki/Square-free_polynomial
date created:
2006-01-23T06:25:35Z
date modified:
2024-09-04T20:11:52Z
main entity:
{"identifier":"Q7581979","url":"https://www.wikidata.org/entity/Q7581979"}
image:
fields total:
13
integrity:
15