4. (a) Let S be a commutative ring with 1 and let s E S. Assume that sn = 0 for some integer n ≥ 2. Show 1 - s is a unit of S. Hint: Expand the product (1s) (1+s+...+ sn−1). (b) Use (a) above to find a commuative ring R with 1 and a non-constant polynomial ƒ € R[x] such that f is a unit of R[x].

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