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Polynomial equations and factoring polynomials

In: A Guide to Maple

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  • Ernic Kamerich

    (Katholieke Universiteit Nijmegen)

Abstract

Solving polynomial equations and systems of polynomial equations is a classical type of problem. Its study received new impetus from the fact that computers can now handle laborious algorithms, using factorization, resultants, and the more recent Buchberger algorithm for calculating Gröbner bases. Maple is in the front line of using these developments. This chapter discusses Maple's powerful tools in this field, as well as the related subject of symbolic roots of polynomials. When solving equations with parameters, remember that these parameters are interpreted as abstract items; solutions are to be interpreted as “general soutions”. If special values for these parameters are substituted, the solution might be no longer valid for this case; see for an example section 1.3 on page 6.

Suggested Citation

  • Ernic Kamerich, 1999. "Polynomial equations and factoring polynomials," Springer Books, in: A Guide to Maple, chapter 0, pages 168-186, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4419-8556-9_14
    DOI: 10.1007/978-1-4419-8556-9_14
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