# symmetric polynomial

## English

### Noun

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Wikipedia

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