Hi, I've got notes etc on polynomial division that I'm currently working through. This is another subject that still baffles me for some reason. Could anyone help me/give me a few pointers on this question. It would be greatly appreciated:

(The numbers in the brackets are squared, cubed etc)

An object moves such that its velocity, V = 27t(3) + 9t(2) - 3t - 10

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3t - 2

a). use polynomial division to simplify the above expression

b). use the simplified expression to find the acceleration after t= 0.5 secs

c). given that displacement, s = 0m when t = 0, find the displacement after 2 seconds.

Thats a pretty big question I'm currently looking at, thanks in advance to anyone who spends time to look at it.