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Function polynomialRoot #
Finds the numerical values of the distinct roots of a polynomial with real or complex coefficients.
Currently operates only on linear, quadratic, and cubic polynomials using the standard
formulas for the roots.
Syntax #
```js
math.polynomialRoot(constant, linearCoeff, quadraticCoeff, cubicCoeff)
```
Parameters #
Parameter | Type | Description
--------- | ---- | -----------
`coeffs` | ... number | Complex | The coefficients of the polynomial, starting with with the constant coefficent, followed by the linear coefficient and subsequent coefficients of increasing powers.
Returns #
Type | Description
---- | -----------
Array | The distinct roots of the polynomial
Throws #
Type | Description
---- | -----------
Examples #
```js
// linear
math.polynomialRoot(6, 3) // [-2]
math.polynomialRoot(math.complex(6,3), 3) // [-2 - i]
math.polynomialRoot(math.complex(6,3), math.complex(2,1)) // [-3 + 0i]
// quadratic
math.polynomialRoot(2, -3, 1) // [2, 1]
math.polynomialRoot(8, 8, 2) // [-2]
math.polynomialRoot(-2, 0, 1) // [1.4142135623730951, -1.4142135623730951]
math.polynomialRoot(2, -2, 1) // [1 + i, 1 - i]
math.polynomialRoot(math.complex(1,3), math.complex(-3, -2), 1) // [2 + i, 1 + i]
// cubic
math.polynomialRoot(-6, 11, -6, 1) // [1, 3, 2]
math.polynomialRoot(-8, 0, 0, 1) // [-1 - 1.7320508075688774i, 2, -1 + 1.7320508075688774i]
math.polynomialRoot(0, 8, 8, 2) // [0, -2]
math.polynomialRoot(1, 1, 1, 1) // [-1 + 0i, 0 - i, 0 + i]
```
See also #
[cbrt](cbrt.html),
[sqrt](sqrt.html)