To determine the number of years when the company will breakeven, we use the equation given. At the breakeven point, the company has no profit and loses. So, we P(x) = 0. We calculate as follows:
<span>P(x) = x3 – 4x2 + 3x – 12
0 = </span>x^3 – 4x^2 + 3x – 12
x = 4 , 1.732i, -1.732i
Solving for x, we will have three value one real and 2 imaginary values. Since time cannot be negative and imaginary. The answer would be 4. After 4 years, the company will break even.
2(8n^2-5n+11)
16n^2-5n+11
11n^2+11
So b is the correct answer
This is (x - 6)*x^1/2(x + 3)
= x^1/2 (x^2 - 3x - 18)
= x^(5/2) - 3x^(3/2) - 18x^(1/2)