Difference between revisions of "Polynomial Command"
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: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[ | + | ;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''. }} | ||
Revision as of 22:19, 22 August 2015
- 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[(x - 3)^2 + (a + x)^2, a]yields a2 + 2 x a + 2 x2 - 6 x + 9.
