A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge -- solving higher polynomial equations.

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

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations.

A procedure is introduced for solving systems of polynomial equations that need to be solved repetitively with varying coefficients. The procedure is based on the cheater's homotopy, a continuation ...

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 ...

Bernstein polynomial estimation provides a robust nonparametric technique for approximating both density and distribution functions. Based on the properties of Bernstein polynomials, which ...

We learn at school how to solve polynomial equations of first and second degree, or linear and quadratic equations. In the early 16th century, Italian mathematicians discovered how to solve ...

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.

Mahesh Ramesh Kakde, winner of this year’s Vigyan Yuva Shanti Swarup Bhatnagar award for Mathematics, is a number theorist at the Indian Institute of Science, Bengaluru, who studies polynomial ...