Question

An entrepreneur estimates that the total profit (profit = total revenue minus total cost) from his proposed company will be given by the function P(x) = x3 – 4x2 + 3x – 12, where P is in hundreds of dollars and x is the number of years elapsed after the company starts operations. In how many years (x) will the company break even (no profit, no loss)?

Answer 1

Want to solve P(x) = 0
Might plot it. Otherwise, try to factor the polynomial as
(x-a)(x-b)(x-c)

The roots a,b,c will be when P(x) = 0