Ask Question
21 August, 08:47

Which polynomial equations have - i as one of their roots?

1. x^3 + 5x^2 - 20 = 0

2. x^3 - x^2 + x - 1 = 0

3. x^3 + 3x^2 + x + 3 = 0

4. x^3 - 2x^2 + x - 2 = 0

5. x^3 - 6x^2 - 16x + 96 = 0

+3
Answers (1)
  1. 21 August, 09:30
    0
    I = sqrt (-1)

    i^2 = - 1

    (-i) ^2 = (-i) (-i) = i^2 = - 1

    (-i) ^3 = (-i) (-i) (-i) = (-i) (i^2) = i

    use these facts to find which equation is correct if x = - i

    i bet on 2,3 or 4
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Which polynomial equations have - i as one of their roots? 1. x^3 + 5x^2 - 20 = 0 2. x^3 - x^2 + x - 1 = 0 3. x^3 + 3x^2 + x + 3 = 0 4. x^3 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers