Let F be a commutative ring with identity and let f (x) E F[x] be a polynomial of degree 4. Which of the following statements is true: f(x) has exactly 4 roots counting multiplicity. f(x) has exactly 4 distinct roots X f(x) has at most 4 roots. O None

Let F be a commutative ring with identity and let f (x) E F[x] be a polynomial of degree 4. Which of the following statements is true: f(x) has exactly 4 roots counting multiplicity. f(x) has exactly 4 distinct roots X f(x) has at most 4 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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Let F be a commutative ring with identity and let f (x) E F[x] be_a
polynomial of degree 4. Which of the following statements is true:
f(x) has exactly 4 roots counting
multiplicity.
f(x) has exactly 4 distinct roots X
O f(x) has at most 4 roots.
O None

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