SOLUTION: Could you tell me if I did this problem right. Here is the word problem: In a study of worker efficiency at Wong Laboratories it was found that the numer of components assembled

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Question 309849: Could you tell me if I did this problem right. Here is the word problem:
In a study of worker efficiency at Wong Laboratories it was found that the numer of components assembled per hour by the average worker t hours after starting work could be modeled by the formula
N(1) = -3t^3 + 23t^2 + 8t.
a) Rewrite the formula by factoring the right hand side completely.
b) Use the facored version of the formula to find N(3)

This is my solution:
a) N(t)=-3t^3+23t^2+8t
=-t(3t^2-23t-8)
=-t[(3t^2+t)-(24t-8)]
=-t[t(3t+1)-8(3t+1) ]
=-t(t-8)(3t+1)
b) N(3)=-3(3-8)(3×3+1)
=-3(-5)(10)
N(3)=150


Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
a) First, factor:
N%28t%29+=+-3t%5E3%2B23t%5E2%2B8t Factor a -t.
N%28t%29+=+-t%283t%5E2-23t-8%29 Now, factor the trinomial.
N%28t%29+=+-t%283t%2B1%29%28t-8%29
N%283%29+=+-3%283%2A3%2B1%29%283-8%29
N%283%29+=+-3%2810%29%28-5%29
N%283%29+=+-30%28-5%29
highlight%28N%283%29+=+150%29