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.

dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day! You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!

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.

Answers to Questions

How to calculate a root?

The general principle of root calculation is to evaluate the solutions of the equationpolynomial = 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 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

Ask a new question

Source code

dCode retains ownership of the source code of the script Polynomial Root online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be given for free. To download the online Polynomial Root script for offline use on PC, iPhone or Android, ask for price quote on contact page !