What Are the Units in the Ring F[x] for a Field F?

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If F is a field obtain all the units in F[x]?
 
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Well, this sounds like homework... so what have you tried on this problem? Have you at least come up with any ideas on how to approach it, no matter how stupid it may seem?
 
In particular: What is the definition of "Field" and what is the definition of "unit"?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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