Since then, several “approximate” solutions for higher-order polynomials have been found. Still, according to Wildberger, these solutions do not belong to pure algebra. In his newly published study ...

A mathematician at UNSW Sydney has introduced a groundbreaking new approach to one of algebra’s oldest unsolved problems. A mathematician has developed an algebraic solution to an equation that was ...

Polynomials are equations involving a variable raised to powers, such as the degree two polynomial: 1+ 4 x -- 3 x2 = 0. The equations are fundamental to maths as well as science, where they have ...

Polynomials are equations with a variable raised to powers. They have wide applications in Maths and Science and are used in computer programs and even space studies. However, "higher order" ...

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

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.

For example, the answer to the cubed root of seven, 3√7 = 1.9129118... extends forever. So although 3√7 "exists" in this formula, this infinite, never-ending decimal is being mischaracterized ...

More information: N. J. Wildberger et al, A Hyper-Catalan Series Solution to Polynomial Equations, and the Geode, The American Mathematical Monthly (2025). DOI: 10.1080/00029890.2025.2460966 ...

A cubic polynomial inter/extrapolation method is investigated to improve the inter/extrapolation accuracy of the matrix over a frequency band in the method of m ...

Cubics and quartics Cubic and quartic functions are the natural extension of polynomials after quadratics, representing higher-order polynomials with degrees three and four respectively. A cubic ...

This brief introduces a new method to compute in parallel the roots of a polynomial locator of degree four in a Reed-Solomon decoder. The novelty of this brief is the introduction of an algorithm that ...

Sainz is a four-time winner in Formula 1, with his most recent victory coming at the Mexico Grand Prix in October. It was his second win this season, following his March victory in Australia.