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 \(f(x) = 0\).

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 ...

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 ...

Appell polynomials are a significant class of special ... that transforms a function into another function, often used to simplify the process of solving differential equations.

Such operators are vital for manipulating and understanding the properties of orthogonal polynomials, which can be applied in solving differential equations and other mathematical problems[2].