(a) Find a polynomial interpolant to the data (- 2, - 10), (- 1, 2), (1, 2), (2, 14) using the Vandermonde system approach from 1.
(b) Repeat using the Newton approach from 4.
(c) Use 5 to get your answer in part (a) from your answer in part (b).
(d) Use 5 to get your answer in part (b) from your answer in part (a) by finding the inverse of the matrix.