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 169867: 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) = -3t^3 + 23t^2 + 8t.
a) Rewrite the formula by factoring the right-hand side completely.
b) Use the factored version of the formula to find N(3).
Please help me figure out this problem I am so confused thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
N(t) = -3t^3 + 23t^2 + 8t.
a) Rewrite the formula by factoring the right-hand side completely.
N(t) = t(-3t^2 + 23t + 8)
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b) Use the factored version of the formula to find N(3).
N(3) = 3(-3^3^2 + 23*3 + 8)
N(3) = 3(-27 + 69 + 8)
N(3) = 3(50) = 150
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Cheers,
Stan H.