Maple 9 Learning Guide - Maplesoft

3.4 Polynomials • 61> sort(mul_var_poly, [x,y]);x 2 y 2 + x 3 + y 3> sort(mul_var_poly, [x,y], ’plex’);x 3 + x 2 y 2 + y 3The collect command groups coefficients of like powers in a polynomial.For example, if the terms ax and bx are in a polynomial, Maplecollects them as (a + b)x.> big_poly:=x*y + z*x*y + y*x^2 - z*y*x^2 + x + z*x;big_poly := x y + z x y + y x 2 − z y x 2 + x + z x> collect(big_poly, x);(y − z y) x 2 + (y + z y + 1 + z) x> collect(big_poly, z);(x y − y x 2 + x) z + x y + y x 2 + xMathematical OperationsYou can perform many mathematical operations on polynomials. Amongthe most fundamental is division, that is, to divide one polynomial intoanother and determine the quotient and remainder. Maple provides thecommands rem and quo to find the remainder and quotient of a polynomialdivision.> r := rem(x^3+x+1, x^2+x+1, x);r := 2 + x> q := quo(x^3+x+1, x^2+x+1, x);q := x − 1