Difference between revisions of "Polynomial Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=4.2}}</noinclude> | <noinclude>{{Manual Page|version=4.2}}</noinclude> | ||
{{command|function}} | {{command|function}} | ||
| − | ; Polynomial[ <Function> ] | + | ;Polynomial[ <Function> ] |
:Yields the expanded polynomial function. | :Yields the expanded polynomial function. | ||
| − | : {{Example|1=<code>Polynomial[(x - 3)^2]</code> yields ''x<sup>2</sup> - 6x + 9''. }} | + | :{{Example|1=<code>Polynomial[(x - 3)^2]</code> yields ''x<sup>2</sup> - 6x + 9''. }} |
| − | ; Polynomial[ <List of Points> ] | + | ;Polynomial[ <List of Points> ] |
| − | : Creates the interpolation polynomial of degree ''n-1'' through the given ''n'' points. | + | :Creates the interpolation polynomial of degree ''n-1'' through the given ''n'' points. |
| − | : {{Example|1=<code>Polynomial[{(1, 1), (2, 3), (3, 6)}]</code> yields ''0.5 x<sup>2</sup> + 0.5 x''. }} | + | :{{Example|1=<code>Polynomial[{(1, 1), (2, 3), (3, 6)}]</code> yields ''0.5 x<sup>2</sup> + 0.5 x''. }} |
| + | |||
| + | ==CAS Syntax== | ||
| + | ;Polynomial[ <Function> ] | ||
| + | :Expands the function and writes it as a polynomial in x (grouping the coefficients). | ||
| + | :{{Example|1=<code>Polynomial[(x - 3)^2 + (a + x)^2]</code> yields ''2 x<sup>2</sup> + (2a - 6) x + a<sup>2</sup> + 9''. }} | ||
| + | ;Polynomial[ <Function>, <Variable> ] | ||
| + | :Expands the function and writes it as a polynomial in the variable (grouping the coefficients). | ||
| + | :{{Example|1=<code>Polynomial[(a - 1)^2 + a^3]</code> yields ''a<sup>3</sup> + a<sup>2</sup> - 2a + 1''. }} | ||
Revision as of 09:22, 22 July 2014
- Polynomial[ <Function> ]
- Yields the expanded polynomial function.
- Example:
Polynomial[(x - 3)^2]yields x2 - 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 x2 + 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 x2 + (2a - 6) x + a2 + 9.
- Polynomial[ <Function>, <Variable> ]
- Expands the function and writes it as a polynomial in the variable (grouping the coefficients).
- Example:
Polynomial[(a - 1)^2 + a^3]yields a3 + a2 - 2a + 1.
