Difference between revisions of "Coefficients Command"

Revision as of 10:34, 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\}.

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.

@@ Line 2: / Line 2: @@
 {{command|cas=true|function}}
 ;Coefficients[ <Polynomial> ]
-:For polynomial <math>a_kx^k+a_{k-1}x^{k-1}+\cdots+a_1x+a_0</math> returns list <math>\{a_0,a_1,\ldots,a_k\}</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>}}
 ;Coefficients[ <Conic> ]
-:For conic <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>.
+:For conic <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>.
 ==CAS Specific Syntax==
 In [[CAS View]] only one syntax is allowed: