Do both parts please Don't skip 2nd part QUESTION 2Is the ideal (x² + 1, x + 3) C Z[x] a principal idcal? Explain.The ring Z[x]/(x² +1, x+3) is cquivalent to which better-known ring?

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Answered: Is the idcal (x² + 1, x + 3) C Z[x] a…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.1: Polynomials Over A Ring

Problem 18E: 18. Let be a commutative ring with unity, and let be the principal ideal in . Prove that is...

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Is the idcal (x² + 1, x + 3) C Z[x] a principal idcal? Explain. The ring Z[x]/(x² +1, x+3) is cquivalent to which better-known ring?