Polynomial equations and recurrence relations are fundamental concepts in mathematics that have wide-ranging applications in various fields, including computer science, physics, and engineering.

What type of roots the equation has can be shown by the discriminant. The discriminant for a quadratic equation \(a{x^2} + bx + c = 0\) is \({b^2} - 4ac\). And the types of root the equation has ...

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 \(f(x) = 0\).

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 ...

Matrix valued orthogonal polynomials are an important area of study in mathematics, particularly in the context of differential equations and functional analysis. These polynomials extend the ...