Difference between revisions of "Coefficients Command"
From GeoGebra Manual
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:{{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[ <Conic> ] | ;Coefficients[ <Conic> ] | ||
− | :For | + | :For conics in standard form <math>a\cdot x^2 + b\cdot y^2 + c + d\cdot x\cdot y + e\cdot x + f\cdot y = 0</math> returns list <math>\{a, b, c, d, e, f\}</math>. |
+ | :{{note|1=For a line in implicit form <math>l: ax + by + c = 0</math> it is possible to obtain the coefficients using the syntax ''x''(''l''), ''y''(''l''), ''z''(''l'').}} | ||
+ | :{{example|1= Given <code>l: 3x + 2y - 2 = 0</code> : <code>x(l)</code> returns 3, <code>y(l)</code> returns 2 and <code>z(l)</code> returns -2.}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
;Coefficients[ <Polynomial> ] | ;Coefficients[ <Polynomial> ] |
Revision as of 11:49, 24 September 2012
- 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> ]
- For conics in standard form 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\}.
- 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
l: 3x + 2y - 2 = 0
:x(l)
returns 3,y(l)
returns 2 andz(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, andCoefficients[a^3 - 3 a^2 + 3 a, x]
yields \{a^3 - 3 a^2 + 3 a\}.