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

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

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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

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