Polynomial Calculator is a JavaFX desktop application I built to solve and visualize polynomial equations up to the third degree.

Users can enter equations in a natural algebraic format and receive the simplified polynomial, its roots, and a graph of the resulting function.

Polynomial equations can become increasingly difficult to solve and visualize as their degree increases. I wanted to build a tool that could handle the full process in one place rather than requiring separate tools for parsing, solving, and graphing.

The calculator supports:

• Linear, quadratic, and cubic equations

• Real and complex roots

• Algebraic expressions on both sides of an equation

• Graph visualization

I built the application in Java using object-oriented design, with JavaFX handling the interface and graph visualization.

One of the more interesting parts was creating a parser that could take expressions such as 2x³ - x + 4 = x² and convert them into a form the solver could work with. The application then determines the polynomial's degree, solves it using the appropriate method, and displays the results visually.

This project gave me practical experience with mathematical algorithms, parsing user input, and structuring a desktop application using object-oriented programming.

I also learned how to connect the underlying mathematical logic with a graphical interface, turning a set of calculations into something users could interact with and understand visually.

Polynomial Calculator became a compact educational tool that combines polynomial parsing, equation solving, root calculation, and graph visualization in a single JavaFX application.

It was a useful project for exploring how mathematical concepts can be translated into practical software.

Here’s the Polynomial Calculator in action: