# Polynomial Command

From GeoGebra Manual

- Polynomial( <Function> )
- Yields the expanded polynomial function.
**Example:**`Polynomial[(x - 3)^2]`

yields*x*.^{2}- 6x + 9

- Polynomial( <List of Points> )
- Creates the interpolation polynomial of degree
*n-1*through the given*n*points. **Example:**`Polynomial[{(1, 1), (2, 3), (3, 6)}]`

yields*0.5 x*.^{2}+ 0.5 x

## CAS Syntax

- Polynomial( <Function> )
- Expands the function and writes it as a polynomial in x (grouping the coefficients).
**Example:**`Polynomial[(x - 3)^2 + (a + x)^2]`

yields*2 x*.^{2}+ (2a - 6) x + a^{2}+ 9

- Polynomial( <Function>, <Variable> )
- Expands the function and writes it as a polynomial in the variable (grouping the coefficients).
**Example:**`Polynomial[(x - 3)^2 + (a + x)^2, a]`

yields*a*.^{2}+ 2 x a + 2 x^{2}- 6 x + 9