Difference between revisions of "Polynomial Command"
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| − | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function}} |
| − | {{command|function}} | + | ;Polynomial( <Function> ) |
| − | ; Polynomial | ||
:Yields the expanded polynomial function. | :Yields the expanded polynomial function. | ||
| − | : {{Example|1=<code>Polynomial | + | :{{Example|1=<code>Polynomial((x - 3)^2)</code> yields ''x<sup>2</sup> - 6x + 9''. }} |
| − | ; Polynomial | + | :{{Example|1=<code>Polynomial(f(x,y)=y^2+(x+y)^2)</code> yields ''x<sup>2</sup>+2xy+2x<sup>2</sup>''. }} |
| − | : Creates the interpolation polynomial of degree ''n-1'' through the given ''n'' points. | + | ;Polynomial( <List of Points> ) |
| − | : {{Example|1=<code>Polynomial | + | :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''. }} | ||
| + | |||
| + | ==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((x - 3)^2 + (a + x)^2, a)</code> yields ''a<sup>2</sup> + 2 x a + 2 x<sup>2</sup> - 6 x + 9''. }} | ||
Latest revision as of 14:05, 9 February 2024
- Polynomial( <Function> )
- Yields the expanded polynomial function.
- Example:
Polynomial((x - 3)^2)yields x2 - 6x + 9.
- Example:
Polynomial(f(x,y)=y^2+(x+y)^2)yields x2+2xy+2x2.
- 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.
