Professors Amir Ali Ahmadi and Pravesh Kothari are pioneering the use of artificial intelligence to enhance complex ...

While the world continues to fixate on AI, there are still plenty of high performance computing workloads that need doing and ...

Graph of a quadratic equation and its roots via the quadratic formula. Jacob Rus, CC BY-SA. Equations and plots like these are part of algebra, but they’re not the whole story.

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 ...

Most people’s experiences with polynomial equations don’t extend much further than high school algebra and the quadratic formula. Still, these numeric puzzles remain a foundational component ...

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, where x is ...

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 ...

The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case. i) No. of zeroes=0 as graph doesn’t intersect at x-axis ...

How to Find the Tangent on a Graph in Excel. The tangent is defined as the single point where a straight line meets a curved surface.

This article is devoted to solving some problems and elimination in systems of polynomial equations. Let us give some examples of problems: solving a system of polynomial equations, finding its ...