Polynomial theory underpins a vast array of problems in modern combinatorics, providing tools to encode, manipulate and extract information from sequences and discrete structures. Central to this area ...

In this math tutorial, we clarify common misconceptions about what constitutes a polynomial, offering valuable math help. We examine examples where variables in denominators, negative powers, radicals ...

Graph polynomials serve as powerful invariants that encode both combinatorial and topological features of graphs drawn on surfaces. Beginning with the classical Tutte polynomial for planar graphs, ...

In this math tutorial, I tackle the often-dreaded subject of long division, specifically focusing on how to do long division with algebraic expressions. I'll walk you through the long division method ...

Vesselin Dimitrov’s proof of the Schinzel-Zassenhaus conjecture quantifies the way special values of polynomials push each other apart. In the physical world, objects often push each other apart in an ...

For mathematicians and computer scientists, 2020 was full of discipline-spanning discoveries and celebrations of creativity. Several long-standing problems yielded to sustained collaboration, ...