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

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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 2x 2x 5 A 1
Question 5 3 6 Marks Let R Z X Let I S R Be The Smallest Ideal Of R That Contains The Polynomials G 2x 2x 5 A 1 (27.98 KiB) Viewed 66 times
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?
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