Solve both subparts, Need unique answers, Don't copy the answers (i) Find the polynomial of the lowest possible degree which assumes the values 1245, 33, 5, 9 and 1335 at x = - 4, - 1, 0, 2 and 5...

Solve both subparts,

Need unique answers, Don't copy the answers

(i) Find the polynomial of the lowest possible degree which assumes the values 1245, 33, 5, 9 and 1335 at x = - 4, - 1, 0, 2 and 5 respectively. Also find the value of the polynomial at the abscissa 1.

(ii) Find the polynomial of the lowest possible degree which assumes the values 3, 12, 15, -21 when x has the value 3, 2, 1, - 1