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.

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, ...

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 .

The equations formed with variables, exponents and coefficients are called polynomial equations. It can have different exponents, where the higher one is called the degree of the 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 ...

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 : ...