# symmetric polynomial

## English

### Noun

symmetric polynomial ‎(plural symmetric polynomials)

1. (algebra) A polynomial which remains unchanged if its variables are permuted
${\displaystyle x+y+z}$
${\displaystyle xyz}$
${\displaystyle 2x^{2}+2y^{2}+2z^{2}}$, etc.
An example of a non-symmetric polynomial is ${\displaystyle x+2y}$: if we interchange ${\displaystyle x}$ and ${\displaystyle y}$, this polynomial changes to ${\displaystyle 2x+y}$.