Hello, can a tutor correctly solve this practice problem?

6 Continue from problem 4(b) of Midterm I, we have shown that there is a unique cubic polynomial P(:c) for which PWU) = \"$11): P($2) = flab): P'(m1) = film): P"(331) = film) Where x) is a given function and mu 94 :02. Show that f(:1:) P(:r:) = fw), 5 6 [1,1], :80 = 1, 1:1: 0, x2 = 1 where f (m) is four times continuously dilferentiable on [1, 1]