# Lagrange Polynomial

Lagrange polynomials are used in the method of interpolation of polynomials. Lagrange polynomial is said to be a polynomial if a set of points $x_{i}s$ is given and $y_{j}s$ be their corresponding values, in such a way that the polynomial has least degree. Thus, we can say that the functions at each point coincide. This interpolating polynomial has to be unique, so that it is said to have “Lagrange form”. It was named after the mathematician who published it in 1795, Joseph Louis Lagrange. Though, it was first discovered by Edward Waring in 1779.

Lagrange interpolation is based on the fact that if interpolation points are changed, the entire interpolation process must be recalculated. In this case, the Newton polynomials are much susceptible. We are going to go ahead in this article and understand about Lagrange polynomial in detail.