SOLUTION: Worker efficiency. In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worker "t" hours after starting

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Question 45751: Worker efficiency. In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour by the average worker "t" hours after starting work could be modeled by the formula:
N(t) = -3t³ +23t² + 8t

a. Rewrite the formula by factoring the right-hand side completely.

b. Use the factored version of the formula to find N(3).
Answer by tutorcecilia(2152) About Me  (Show Source):
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N(t) = -3t³ +23t² + 8t
(-t)(3t² +23t + 8) [Factor out the "-t" term]
(-t)(3t + 1)(t - 8)
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N(3)= (-t)(3t + 1)(t - 8)
[-(3)] [(3)(3) + 1][(3) - 8] [Substitute "3" for "t" and solve]
(-3)(9 + 1)(3 - 8)
(-3)(10)(-5)
(-30)(-5)
150 [Final answer]
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