Polynomial Command

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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.
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