A model predicts the profit, p of a company as p(x) = x3 – 3x2 – 16x + 48, where p is in thousands of dollars and x is number of years passed since January 1, 2011. For which time interval would the company make a loss?

Question

michele_laino · Answer

and what about other question, on polynomial function?

anonymous · Answer

Oh i got the answer : )

michele_laino · Answer

ok! you have to solve this inequality:
p(x) = x3 – 3x2 – 16x + 48<0

anonymous · Answer

whats all those question mark ?

michele_laino · Answer

sorry I don't understand you last question!

michele_laino · Answer

anyway, please note that, your polynomial can be factorized as below:
$$(x-3)(x-4)(x+4)$$

anonymous · Answer

i got that answer too !

anonymous · Answer

but after that what would i do

michele_laino · Answer

please, you have to solve the inequality above, namely:
$$(x-3)(x-4)(x+4)<0$$

anonymous · Answer

(-infinity,-4) u (3,4)

michele_laino · Answer

yes!, even if the interval which is our answer is (3,4) because time has to be positive