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19 January, 22:12

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

+1
Answers (1)
  1. 19 January, 23:00
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    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
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