SOLUTION: Can you please help me with this problem? Worker efficiency. In a study of worker efficiency at Wong Laboratories it was found that the number of components assembled per hour

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Question 304908: Can you please help me with this problem?
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).
Answer by themathtutor2009(81) About Me  (Show Source):
You can put this solution on YOUR website!
a)

N%28t%29+=+-3t%5E3+%2B+23t%5E2+%2B+8t+


N%28t%29+=+-t%283t%5E2+-+23t+-+8%29+


N%28t%29+=+-t%283t%5E2+%2B+t-24t+-+8%29+


N%28t%29+=+-t%28t%283t+%2B+1%29-8%283t+%2B+1%29%29+


N%28t%29+=+-t%28t-8%29%283t%2B1%29+


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b)
N%28t%29+=+-t%28t-8%29%283t%2B1%29+

N%283%29+=+-3%283-8%29%283%283%29%2B1%29+

N%283%29+=+-3%283-8%29%289%2B1%29+

N%283%29+=+-3%28-5%29%2810%29+

N%283%29+=+150+