Polynomial Root Finder

Discover the real roots of any polynomial equation with our interactive tool. Just enter the coefficients and visualize the results instantly.

Enter Polynomial Coefficients

Separate coefficients by commas (e.g., 1, -3, 2 for x² - 3x + 2).

Coefficients:

Initial Guess (optional):

Real Roots:

Polynomial Visualization:

About Polynomial Root Finder

A polynomial root finder is a tool used to calculate the roots (or zeroes) of a polynomial equation. Roots are the values of 'x' for which the polynomial equals zero. This tool uses numerical methods, specifically the Newton-Raphson method, to approximate the real roots of a polynomial given its coefficients. To use, input the coefficients of your polynomial separated by commas. For example, for the polynomial {x^2 - 3x + 2}, enter '1, -3, 2'. An optional initial guess can be provided to help the algorithm converge faster. The tool also visualizes the polynomial function and highlights the calculated real roots on the graph, making it easier to understand the results.