Question 5.3 (6 marks) Let R=Z[x]. Let I S R be the smallest ideal of R that contains the polynomials g = 2x² + 2x + 5 a
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Question 5.3 (6 marks) Let R=Z[x]. Let I S R be the smallest ideal of R that contains the polynomials g = 2x² + 2x + 5 a
Question 5.3 (6 marks) Let R=Z[x]. Let I S R be the smallest ideal of R that contains the polynomials g = 2x² + 2x + 5 and f = x +1. Do the following. a) Show that I = 5R + (x + 1)R. b) Show that R/I –Zs by exhibiting an explicit isomorphism. c) What is the number of ideals of R that contain I?