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

"No profit, no loss" means that the profit, Px), equals zero. Thus, please set P(x) = x3 – 4x2 + 3x – 12 equal to zero:

P(x) = \[x^3 – 4x^2 + 3x – 12 = 0\]. You must now find the roots / zeros / solutions of this equation. How?