Coefficients Command

Coefficients( <Polynomial> )

Yields the list of all coefficients \(a_k,a_{k-1},\ldots,a_1, a_0\) of the polynomial \(a_k x^k+a_{k-1}x^{k-1}+\cdots+a_1 x+a_0\).

Coefficients(x^3 - 3 x^2 + 3 x) yields {1, -3, 3, 0}.

For non-polynomial curves obtained using one the fitting commands e.g. f(x) = FitExp(l1), the command Coefficients(f) will return the list of the calculated parameters.
Coefficients( <Conic> )

Returns the list of the coefficients a, b, c, d, e, f of a conic in standard form: \(a\cdot x^2 + b\cdot y^2 + c + d\cdot x\cdot y + e\cdot x + f\cdot y = 0\)

For a line in implicit form l: ax + by + c = 0 it is possible to obtain the coefficients using the syntax x(l), y(l), z(l).

Given line l: 3x + 2y - 2 = 0:

  • x(l) returns 3

  • y(l) returns 2

  • z(l) returns -2

CAS Syntax

Coefficients( <Polynomial> )

Yields the list of all coefficients of the polynomial in the main variable.

Coefficients(x^3 - 3 x^2 + 3 x) yields {1, -3, 3, 0}.

Coefficients( <Polynomial>, <Variable> )

Yields the list of all coefficients of the polynomial in the given variable.

  • Coefficients(a^3 - 3 a^2 + 3 a, a) yields {1, -3, 3, 0}.

  • Coefficients(a^3 - 3 a^2 + 3 a, x) yields {a³ - 3 a² + 3 a}.