Polynomial Interpolation

Lagrange Theorem
Given numbers x0 to xn are distinct and numbers y0 to yn, then there exists a unique polynomial Pn (x) of degree n such that:


The Lagrangian polynomial is:


Given numbers x0 to xn are distinct and numbers y0 to yn, then there exists a unique polynomial Pn (x) of degree n such that:


The Lagrangian polynomial is:
