SOLUTION: I solved this problem, but my answers are different than my friend's. Can you explain how to do this? Thank you. :) The profit of a small business (in thousands of dollars) sinc

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Question 919567: I solved this problem, but my answers are different than my friend's. Can you explain how to do this? Thank you. :)
The profit of a small business (in thousands of dollars) since it was founded can be modeled by the polynomial f(t) = t^ 4+ 44t^3 - 612t^2 + 2592t, where t represents the number of years since 1980.
A. Factor f(t) completely.
B. What was the company's profit in 1985?
C. Find and interpret f(15).
D. What can you say about the company's long-term prospects?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A) f%28t%29+=+t%28t%5E3%2B+44t%5E2+-+612t+%2B+2592%29
B) In 1985, t=5
f%285%29=5%28125%2B44%2825%29-612%285%29%2B2592%29
f%285%29=3785
C) f%2815%29=15%283375%2B44%28225%29-612%2815%29%2B2592%29
f%2815%29=100305
Business is good.
D) Profits are increasing year by year.
graph%28300%2C300%2C-5%2C20%2C-5000%2C200000%2Cx%5E4%2B44x%5E3-612x%5E2%2B2592x%29