= Let RZ6[x], the polynomial ring with coefficients in Z6. Answer the following questions, and give...

  

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= Let RZ6[x], the polynomial ring with coefficients in Z6. Answer the following questions, and give a short explanation for each answer. (a) Is R a ring with unity? (b) Is R an integral domain? (c) Is R a finite ring? (d) Does R contain any units? If so, list them all. = Let RZ6[x], the polynomial ring with coefficients in Z6. Answer the following questions, and give a short explanation for each answer. (a) Is R a ring with unity? (b) Is R an integral domain? (c) Is R a finite ring? (d) Does R contain any units? If so, list them all.