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For the polynomial x^3 - 3x^2 + 3x - 1, what is the nature of its roots? (2020)

Practice Questions

1 question
Q1
For the polynomial x^3 - 3x^2 + 3x - 1, what is the nature of its roots? (2020)
  1. All real and distinct
  2. All real and equal
  3. One real and two complex
  4. All complex

Questions & Step-by-step Solutions

1 item
Q
Q: For the polynomial x^3 - 3x^2 + 3x - 1, what is the nature of its roots? (2020)
Solution: The polynomial can be factored as (x-1)^3, indicating that it has one real root with multiplicity 3, hence all roots are real and equal.
Steps: 0

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