Maple Professional
Maple Academic
Maple Student Edition
Maple Personal Edition
Maple Player
Maple Player for iPad
MapleSim Professional
MapleSim Academic
Maple T.A. - Testing & Assessment
Maple T.A. MAA Placement Test Suite
Möbius - Online Courseware
Machine Design / Industrial Automation
Aerospace
Vehicle Engineering
Robotics
Power Industries
System Simulation and Analysis
Model development for HIL
Plant Modeling for Control Design
Robotics/Motion Control/Mechatronics
Other Application Areas
Mathematics Education
Engineering Education
High Schools & Two-Year Colleges
Testing & Assessment
Students
Financial Modeling
Operations Research
High Performance Computing
Physics
Live Webinars
Recorded Webinars
Upcoming Events
MaplePrimes
Maplesoft Blog
Maplesoft Membership
Maple Ambassador Program
MapleCloud
Technical Whitepapers
E-Mail Newsletters
Maple Books
Math Matters
Application Center
MapleSim Model Gallery
User Case Studies
Exploring Engineering Fundamentals
Teaching Concepts with Maple
Maplesoft Welcome Center
Teacher Resource Center
Student Help Center
Roots - roots of a polynomial mod n
Calling Sequence
Roots(a)
Roots(a, K)
Parameters
a
-
univariate polynomial
K
RootOf
Description
The Roots function is a placeholder for representing the roots of the univariate polynomial a. The roots are returned as a list of pairs of the form where is a root and its multiplicity, that is, divides a.
The call Roots(a) mod n computes the roots of the polynomial a modulo n.
The call Roots(a,K) mod p computes the roots over the finite field defined by K an algebraic extension of the integers mod p where K is a RootOf.
The call modp1(Roots(a), p) computes the roots of the polynomial a in the representation modulo the prime integer p.
Examples
See Also
Factors, mod, modp1, msolve, root, RootOf, roots, Student[Calculus1][Roots], Student[NumericalAnalysis][Roots]
Download Help Document