Assignment:
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)
Provide complete and step by step solution for the question and show calculations and use formulas.