We solve polynomials algebraically in order to determine the roots - where a curve cuts the \(x\)-axis. A root of a polynomial function, \(f(x)\), is a value for \(x\) for which \(f(x) = 0\).

Roots can occur in a parabola in 3 different ways as shown in the diagram below: In diagram A, we can see that this parabola has 2 roots, diagram B has 1 root and diagram C has no roots.

Three researchers from Bristol University are seeking to develop methods for analysing the distribution of integer solutions to polynomial equations. How do you know when a polynomial equation has ...

Prior efforts to develop hardware for optimization problems have involved Ising machines, a category of hardware solvers that ...

Having lowered the bar for the sense in which we hope to solve a system of linear equations, one might wonder whether this quantum algorithm 3 offers a real advantage over classical computing at all.

Solving Ax = b over Q using p-adic lifting and rational number reconstruction. 3. The Fast Fourier Transform and applications (1.5 weeks) Fast polynomial multiplication, fast division and fast ...

The book showed how to solve polynomial equations, and algebraic methods of writing an expression in a simpler form, a tactic known as reduction. It also covered key concepts such as moving a ...