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.
Polynomial Root - dCode
Tag(s) : Functions
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!
Sponsored ads
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.
The general principle of root calculation 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 \( \Delta = b ^ 2-4 a c \)
Use the polynomial discriminant calculator on dCode which automatically adapts to polynomials of degree 2, degree 3, etc. degree n.
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.
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
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 !