Rational root theorem
id:
rational-root-theorem-187-9306405
title:
Rational root theorem
text:
In algebra, the rational root theorem states a constraint on rational solutions of a polynomial equation a n x n + a n − 1 x n − 1 + ⋯ + a 0 = 0 with integer coefficients a i ∈ Z and a 0, a n ≠ 0. Solutions of the equation are also called roots or zeros of the polynomial on the left side. The theorem states that each rational solution x = p⁄q, written in lowest terms so that p and q are relatively prime, satisfies:
- p is an integer factor of the constant term a0, and
- q is an integer facto
brand slug:
wiki
category slug:
encyclopedia
description:
Relationship between the rational roots of a polynomial and its extreme coefficients
original url:
https://en.wikipedia.org/wiki/Rational_root_theorem
date created:
2001-12-23T00:11:21Z
date modified:
2024-09-08T18:14:43Z
main entity:
{"identifier":"Q180345","url":"https://www.wikidata.org/entity/Q180345"}
image:
fields total:
13
integrity:
15