Coefficients Command

Coefficients[ <Polynomial> ]

Yields the list of all coefficients a_k,a_{k-1},\ldots,a_1, a_0 of the polynomial a_kx^k+a_{k-1}x^{k-1}+\cdots+a_1x+a_0.

Example:

Coefficients[x^3 - 3 x^2 + 3 x] yields {1, -3, 3, 0}, the list of all coefficients of x^3 - 3 x^2 + 3 x.

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

Note: 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).

Example: Given line: 3x + 2y - 2 = 0: x(line) returns 3, y(line) returns 2, and z(line) returns -2

CAS Syntax

Coefficients[ <Polynomial> ]

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

Example:

Coefficients[x^3 - 3 x^2 + 3 x] yields {1, -3, 3, 0}, the list of all coefficients of x^3 - 3 x^2 + 3 x.

Coefficients[ <Polynomial>, <Variable> ]

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

Example:

• Coefficients[a^3 - 3 a^2 + 3 a, a] yields {1, -3, 3, 0}, the list of all coefficients of a^3 - 3 a^2 + 3 a
• Coefficients[a^3 - 3 a^2 + 3 a, x] yields {a³ - 3 a² + 3 a}.