Coefficients Command

Coefficients[ <Polynomial> ]

Yields the list of all coefficients of the polynomial.

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> ]

It returns list \{a, b, c, d, e, f\} for conics in standard form:

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a\cdot x^2 + b\cdot y^2 + c + d\cdot x\cdot y + e\cdot x + f\cdot y = 0

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Hint: 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 l: 3x + 2y - 2 = 0:

x(l) returns 3,

y(l) returns 2 and

z(l) 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, and
• Coefficients[a^3 - 3 a^2 + 3 a, x] yields \{a^3 - 3 a^2 + 3 a\}.