Polynomial Command

Polynomial( <Function> )

Yields the expanded polynomial function.

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

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.

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.