30.2-7 Given a list of values zo.z1.. ..Zn-1 (possibly with repetitions), show how to find the coefficients of a polynomial P(x) of degree-bound +1 that has zeros only at Zo,Z1.... . Zn-i (possibly with repetitions). Your procedure should run in time 0(n lg2 n). (Hint. The polynomial P(x) has a zero at Zj f and only if P(x) is a multiple of (x-zj).) 30.2-7 Given a list of values zo.z1.. ..Zn-1 (possibly with repetitions), show how to find the coefficients of a polynomial P(x) of degree-bound +1 that has zeros only at Zo,Z1.... . Zn-i (possibly with repetitions). Your procedure should run in time 0(n lg2 n). (Hint. The polynomial P(x) has a zero at Zj f and only if P(x) is a multiple of (x-zj).)