2. Consider the polynomial interpolation on the interval [-1, 1] with two types of f(x): A(z) = sin(x), (x) = 1+25x2 Write a matlab script for computing the error of polynomial interpolations of f (x), and fill in the following table. The error of polynomial interpolation is defined as where z is a vector representing the uniform grid points on [-1,1]. Hint: Using the element-wise division / and the element-wise power . Natural Err Lagrange Err Natural Err Lagrange Err 10 20 40