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. So if you need to download the online Polynomial Root script for offline use, check contact page !