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Polynomial Root

Tool to calculate/find the root of a polynomial. In mathematics, a root of a polynomial is a value for which the polynomial is 0. A polynomial of degree n can have between 0 and n roots.

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Polynomial Root -

Tag(s) : Functions

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# Polynomial Root

## Root Calculator

Tool to calculate/find the root of a polynomial. In mathematics, a root of a polynomial is a value for which the polynomial is 0. A polynomial of degree n can have between 0 and n roots.

### How to calculate a polynomial root?

The general principle of root calculation is to evaluate the solutions of the equation polynomial = 0 according to the studied variable (where the curve crosses the y=0 zero axis)..

Example: The roots of the quadradic polynomial $ax ^ 2 + bx + c$ are the solutions of the equation $ax ^ 2 + bx + c = 0$ so $$x = \frac{ \pm \sqrt{ b ^ 2-4ac } -b}{2 a}$$

The calculation of polynomial roots generally involves the calculation of its discriminant.

Example: For a quadratic polynomial $ax ^ 2 + bx + c$ the discriminant is $\Delta = b ^ 2-4 a c$

### How to calculate a discriminant?

Use the polynomial discriminant calculator on dCode which automatically adapts to polynomials of degree 2, degree 3, etc. degree n.

### What is a zero for a polynomial?

A zero of a polynomial function $P$ is a solution $x$ such that $P(x) = 0$, so it is the other name of a root.

### What is a nt degree polynomial?

The order of a polynomial (2nd order 2 or quadratic, 3rd order or cubic, 4th order, etc.) is the value of its largest exponent.

Example: $x^3+x^2+x$ is a polynomial of 3rd order

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