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 ...

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

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.

The idea of solving equations with power series isn’t entirely new. In 1844, Gotthold Eisenstein used a similar method for a fifth-degree polynomial that couldn’t be solved with radicals .

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² ...

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, ...

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 ...

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.

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 ...

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 : ...