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## Homework Statement

Define the set of units in R[x] where R is a commutative Ring and R[x] the polynomial ring.

## Homework Equations

Unit: X is a unit in R if there exist a Y in R such that XY=1

## The Attempt at a Solution

At first I thought it was this:

R[x]* = {u +a

_{1}x + a

_{2}x^2...a

_{n}x^n : u

^{2}=1 and a

_{k}

^{2}= 0 }

But I feel that this is just a subset of the actual set of units.

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