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Polynomial Root

Tool to calculate 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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Tag(s) : Functions

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# Polynomial Root

## Root Calculator

Tool to calculate 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 root?

The general principle is to evaluate the solutions of the equation polynomial = 0 according to the studied variable.

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.

### 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 quadratic, 3rd order cubic, 4th order, etc.) is the value of its largest exponent.

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