Example · High school
Terms
| Term | This example | Why |
|---|
| polynomial |
✓ |
$x^2 - 1$ is a polynomial: a formal expression with the coefficients $1$, $0$, and $-1$. It is not an equation, because it has no equal sign, and it is not a function until it is given a domain.
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| expression |
✓ |
|
| polynomial equation |
✗ |
$x^2 - 1$ is not a polynomial equation, because it has no equals sign.
|
| polynomial function |
✗ |
$x^2 - 1$ is not a polynomial function, because it is an expression. It defines a function only once we say what $x$ ranges over.
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