Solutions for Chapter 9.2. Get solutions. We have solutions for your book! Chapter: Problem: FS show all steps. Step-by-step solution: Chapter: Problem: FS show all steps. Step 1 of 3. It is given that, is a field and x is an indeterminate over. Since is a field therefore, is a Euclidean domain. Also, is an polynomial in and degree of is. Comment(0) Step 2 of 3. Now use division algorithm.