11. Let Pn be the interpolation polynomial of f at the nodes x0,...,xn. Suppose we know Pn(x) = 3xn + Q(x), where Q is a polynomial of degree at most n?1. Find f[x0,...,xn].

f[330:3317x2] = f[33273307$1] = f[x1,:v2,:vu]- (7) 11. Let Pn be the interpolation polynomial of f at the nodes 330,...,.Z'n. Suppose we know Pn($) = 3m\" + Q(m), where Q is a polynomial of degree at most 71 1. Find f[$0, . . . ,QSH]. 12. Find the Hermite polynomial that interpolates the values f (0) = 0, f'(0) = 0, f (1) = 1