Difference between revisions of "Polynomial Command"
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Revision as of 08:38, 31 July 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.