Difference between revisions of "Coefficients Command"

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{{command|cas=true|function}}
 
{{command|cas=true|function}}
 
;Coefficients[ <Polynomial> ]
 
;Coefficients[ <Polynomial> ]
:For polynomial <math>a_k x^k + a_{k-1} x^{k-1} + \cdots + a_1 x + a_0</math> returns list <math>\{a_k, ldots, a_1, \a_0\}</math>.
+
:For polynomial <math>a_k x^k + a_{k-1} x^{k-1} + \cdots + a_1 x + a_0</math> returns list <math>\{a_k, \ldots, a_1, a_0\}</math>.
 
:{{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> ]

Revision as of 10:36, 11 September 2012



Coefficients[ <Polynomial> ]
For polynomial a_k x^k + a_{k-1} x^{k-1} + \cdots + a_1 x + a_0 returns list \{a_k, \ldots, a_1, 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> ]
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 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.
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