symmetric polynomial

noun

A polynomial which remains unchanged if its variables are permuted

“xyz”

Meanings

nounsymmetric polynomial (plural symmetric polynomials)

plural symmetric polynomials

  1. algebraA polynomial which remains unchanged if its variables are permuted

    xyz

    3 more examples

    x+y+z

    2x²+2y²+2z², etc.

    An example of a non-symmetric polynomial is x+2y: if we interchange x and y, this polynomial changes to 2x+y.

Cite this entry
APA

symmetric polynomial. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/symmetric%20polynomial

MLA

“symmetric polynomial.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/symmetric%20polynomial. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “symmetric polynomial,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/symmetric%20polynomial.

Source: symmetric polynomial on Wiktionary, CC BY-SA 4.0.