Let D be an ordered integral domain (Section 28), and let D [x Y consist of all

Chapter 34, Problem 34.14

(choose chapter or problem)

Let D be an ordered integral domain (Section 28), and let D [x Y consist of all nonzeropolynomials in D [x] that have leading coefficient in D P , the set of positive elements of D.(a) Prove that this makes D[x] an ordered integral domain with D[xY as the set of positiveelements.(b) Prove that the polynomial I is a least positive element of Z[x].(c) Prove that Z[x] is not well ordered.

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