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MTH 209 --- word problem

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In a study of workers 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) Re-write the formula by factoring the right-hand side completely

b) Use the factored version of the formula to find N(3)

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