Quadratic equations are polynomials that include an x², and teachers use them to teach students to find two solutions at once. ... which solve the original polynomial equation. ...

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.

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 .

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, ...

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 ...

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 ...

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 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 : ...