Homework 07 - Solving Polynomial Equations I
Task
Use the template PRO-2012-Polynomial-Division-Assignment.mws to implement the algorithm of polynomial division.
Divide polynomial f = x^2*y+x*y^2+y^2-1 by polynomials f1 = x*y-1, f2 = y^2+x+1:
Consider the lexicographical ordering with x > y and find the (polynomial) coefficients as well as the remainder for f:(f1,f2) and f:(f2,f1).
Consider the lexicographical ordering with y > x and find the (polynomial) coefficients as well as the remainder for f:(f1,f2) and f:(f2,f1).
Consider the lexicographical ordering with x > y and find the (polynomial) coefficients as well as the remainder for f:(f1,f2) and f:(f2,f1).
Consider the lexicographical ordering with y > x and find the (polynomial) coefficients as well as the remainder for f:(f1,f2) and f:(f2,f1).
Upload
Upload via the course ware the zip archive hw07.zip
containing
hw07.mws Maple worksheet containing the solution to the above problems (algotihms, results, comments).
Slides
The examples and pseudo-algorithm of polynomial division can be found here.