Coefficients Command
- Coefficients( <Polynomial> )
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Yields the list of all coefficients \(a_k,a_\{k-1},\ldots,a_1, a_0\) of the polynomial \(a_kx^k+a_\{k-1}x^\{k-1}+\cdots+a_1x+a_0\).
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> )
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Returns the list of the coefficients a, b, c, d, e, f of a conic in standard form: \(a\cdot x^2 + b\cdot y^2 + c + d\cdot x\cdot y + e\cdot x + f\cdot y = 0\)
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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). |
Given line: 3x + 2y - 2 = 0:
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x(line)returns 3 -
y(line)returns 2 -
z(line)returns -2
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There’s a special mode (for non-polynomials) for the output of the fitting commands eg if |
CAS Syntax
- Coefficients( <Polynomial> )
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Yields the list of all coefficients of the polynomial in the main variable.
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> )
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Yields the list of all coefficients of the polynomial in the given variable.
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Coefficients(a^3 - 3 a^2 + 3 a, a)yields {1, -3, 3, 0}, the list of all coefficients of \(a^3 - 3 a^2 + 3 a\) -
Coefficients(a^3 - 3 a^2 + 3 a, x)yields {a³ - 3 a² + 3 a}.