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, such ...

In this video, I demonstrate how to find the remaining roots of a polynomial function when one zero is given. We'll apply the synthetic division tutorial method along with factoring to efficiently ...

MUCH use is made in combinatorial problems of generating functions in the form of polynomials and infinite power series, these being obtained by the manipulation of other algebraic expressions. In ...

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 – 1) or ...

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Automorphism structures in polynomial algebras constitute a central theme in modern algebra, concerned with the classification and behaviour of bijective endomorphisms of polynomial rings. In the ...

In this video, we provide essential "math help" by explaining how to "solve" for the zeros of a "polynomial functions". This "math tutorial" demonstrates setting the equation to zero and using ...

Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major problem in algebraic geometry. Other mathematicians had their doubts. Now he says ...