i need the answer quickly !(10) If f(x) =........, then f(x) is irreducible in Z7[x].(1) x³ + 2 x² + 2x + 1Option 1(ii) x² + 32Option 2(iii) x²+1

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Answered: (10) If f(x) =........, then f(x) is…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.2: Remainder And Factor Theorems

Problem 51PS

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(10) If f(x) =........, then f(x) is irreducible in Z7[x]. (1) x³ + 2 x² + 2x + 1 Option 1 (ii) x² + 3 2 Option 2