Difference between revisions of "Coefficients Command"
From GeoGebra Manual
Line 9: | Line 9: | ||
In [[CAS View]] only one syntax is allowed: | In [[CAS View]] only one syntax is allowed: | ||
;Coefficients[ <Polynomial> ] | ;Coefficients[ <Polynomial> ] | ||
− | :Yields the list of all coefficients of the | + | :Yields the list of all coefficients of the polynomial in the main variable. |
:{{example| 1=<div><code><nowiki>Coefficients[x^3 - 3 x^2 + 3 x]</nowiki></code> yields ''{1, -3, 3, 0}'', the list of all coefficients of <math>x^3 - 3 x^2 + 3 x</math>.</div>}} | :{{example| 1=<div><code><nowiki>Coefficients[x^3 - 3 x^2 + 3 x]</nowiki></code> yields ''{1, -3, 3, 0}'', the list of all coefficients of <math>x^3 - 3 x^2 + 3 x</math>.</div>}} | ||
+ | ;Coefficients[ <Polynomial>, <Variable> ] | ||
+ | :Yields the list of all coefficients of the polynomial in the given variable. | ||
+ | :{{example| 1=<div> | ||
+ | :* <code><nowiki>Coefficients[a^3 - 3 a^2 + 3 a, a]</nowiki></code> yields ''{1, -3, 3, 0}'', the list of all coefficients of <math>a^3 - 3 a^2 + 3 a</math>, and | ||
+ | :* <code><nowiki>Coefficients[a^3 - 3 a^2 + 3 a, x]</nowiki></code> yields <math>\{a^3 - 3 a^2 + 3 a\}</math>.</div>}} |
Revision as of 10:56, 11 September 2012
- Coefficients[ <Polynomial> ]
- Yields the list of all coefficients of the given 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> ]
- For conic a\cdot x^2 + b\cdot y^2 + c + d\cdot x\cdot y + e\cdot x + f\cdot y = 0 returns list \{a, b, c, d, e, f\}.
CAS Specific Syntax
In CAS View only one syntax is allowed:
- 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, andCoefficients[a^3 - 3 a^2 + 3 a, x]
yields \{a^3 - 3 a^2 + 3 a\}.