Learning Guide Learning Guide

64 • Chapter 3: Finding SolutionsTable 3.2 Functions that Act on PolynomialsFunction Descriptioncontent content of a multivariate polynomialcompoly polynomial decompositiondiscrim discriminant of a polynomialgcd greatest common divisorgcdex extended Euclidean algorithminterp polynomial interpolationlcm least common multiplenorm norm of a polynomialprem pseudo-remainderprimpart primitive part of a multivariate polynomialrandpoly random polynomialrecipoly reciprocal polynomialresultant resultant of two polynomialsroots roots over an algebraic number fieldsqrfree square-free factorizationmore information, refer to the help page ?factor. For a list of functionsthat act on polynomials, see Table 3.2.3.5 CalculusMaple provides many powerful tools for solving problems in calculus, suchas computing the limits of functions.For example, compute the limit of a rational function as x approaches1.> f := x -> (x^2-2*x+1)/(x^4 + 3*x^3 - 7*x^2 + x+2);f := x →x 2 − 2 x + 1x 4 + 3 x 3 − 7 x 2 + x + 2> Limit(f(x), x=1);limx→1x 2 − 2 x + 1x 4 + 3 x 3 − 7 x 2 + x + 2