Polynomial Command

Polynomial( <Function> ): Expands the expression of a polynomial function and simplifies the result.

Polynomial((x - 3)^2) yields x² - 6x + 9.

Polynomial(y^2+(x+y)^2) yields x² + 2xy + 2y².

Polynomial(2x³ - 1 x² + 0x + 4) yields 2x³ - x² + 4.

Polynomial( <List of Points> ): Creates the interpolation polynomial of degree n-1 through the given n points.

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).

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).

Polynomial((x - 3)^2 + (a + x)^2, a) yields a² + 2 x a + 2 x² - 6 x + 9.