Researchers have found a new way to solve high-degree polynomial equations, previously thought impossible for 200 years. This math breakthrough reopens algebra.

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

Solving polynomial equations The discriminant. The nature and co-ordinates of roots can be determined using the discriminant and solving polynomials. Part of Maths Algebraic and trigonometric skills.

Polynomial equations involve a variable being raised to powers, such as the degree two polynomial: 1+ 4x - 3x 2 = 0. Until now, a method for solving "higher order" polynomial equations, ...

Polynomial Equations Formula. Example of a polynomial equation is: 2x 2 + 3x + 1 = 0, where 2x 2 + 3x + 1 is basically a polynomial expression which has been set equal to zero, to form a ...

Polynomial equations have long served as a cornerstone of mathematical analysis, offering a framework to understand functions, curves, and dynamic systems. In recent years, the study of these ...

A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode. The American Mathematical Monthly , 2025; 1 DOI: 10.1080/00029890.2025.2460966 Cite This Page : ...

Although solving lower order polynomials—where the x in an equation is raised up to the fourth power—is often a simple task, things get complicated once you start seeing powers of five or greater.