### Polynomials - Horner's Method, etc.

a) Given a polynomial P(x) and a point xo, what 2 things does Horner's method give us? How is the result useful for polynomial root-finding P(x)=0? b) One use of polynomials is interpolation of given data points {(xk, fk)} , k=0,....,n 1. Write down the Lagrange building block Ln,k (x)- that is the nth degree polynomial wh