Let Fbe a commutative ring with identity and let f(x) E F[x]be a polynomial of degree 5. Which of the following statements is true: O f(x) has exactly 5 roots counting multiplicity. O f(x) has exactly 5 distinct roots O fx) has at most 5 roots. O None

Let Fbe a commutative ring with identity and let f(x) E F[x]be a polynomial of degree 5. Which of the following statements is true: O f(x) has exactly 5 roots counting multiplicity. O f(x) has exactly 5 distinct roots O fx) has at most 5 roots. O None

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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Question

Let Fbe a commutative ring with identity and let f (x) E F[x]be a
polynomial of degree 5. Which of the following statements is true:
O f(x) has exactly 5 roots counting multiplicity.
O f(x) has exactly 5 distinct roots
O fx) has at most 5 roots.
O None

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