Calculus Question

Question

The average number of clients in a store t hours after the store has opened at 9 a.m. is given by the equation n(t) = −t^3 + 2t^2 + 15t, where 0 ≤ t ≤ 5.

(a) Factor the expression completely.

(b) Find times when there are no customers in the store.

Answer 1

-t(t+5)(t-3)

t=0, -5, 3 when n=0