2. Use either the Lagrange polynomial method or Newton Divided Differences for the polynomial f (x) = x* +x -3 on the interval [-1, 1] using the 3 points -1, 0 and 1. a. Find the theoretical error bound in using the polynomial of part (a) to approximate f (x) on [-1, 1]. b. Find the inequality needed to determine how small each interval should be to guarantee that the piecewise quadratic Lagrange polynomials for this function over this interval will have an error of no more than 10-6 c. Find the theoretical error bound in using the polynomial of part (a) to approximate on [-1, 1]