The nature and co-ordinates of roots can be determined using the discriminant and solving polynomials.
Part ofMathsAlgebraic and trigonometric skills
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 \(f(x) = 0\).
We can be asked to solve polynomial expressions by the following methods: