Maple has many functions for working with polynomials. Most of the algorithms used in Maple are contained in the Geddes et al. book, but we also mention a few additional references.

Akritas, Alkiviadis G. Elements of Computer Algebra with Applications. New York: John Wiley & Sons Inc., 1989. 425 pp.

Davenport, J.H.; Siret, Y.; and Tournier, E. Computer Algebra Systems and Algorithms for Algebraic Computation. San Diego: Harcourt Brace Jovanovich, Publishers, 1988. 267 pp.

Geddes, K.O.; Czapor, S.R.; and Labahn, G. Algorithms for Computer Algebra. Boston: Kluwer Academic Publishers, 1992. 585 pp.