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25 October, 14:56

How many rational roots does x4 + 3x3 + 3x2 + 3x + 2 = 0 have?

a. 0

b. 1

c. 2

d. 4

+5
Answers (1)
  1. 25 October, 15:14
    0
    If you would like to know the number of rational roots of the equation x^4 + 3 * x^3 + 3 * x^2 + 3 * x + 2 = 0, you can find this using the following steps:

    x^4 + 3 * x^3 + 3 * x^2 + 3 * x + 2 = 0

    (x^2 + 1) * (x^2 + 3 * x + 2) = 0

    (x^2 + 1) * (x + 1) * (x + 2) = 0

    Complex solutions:

    1. x = - i

    2. x = i

    Real solutions:

    3. x = - 2

    4. x = - 1

    The correct result would be c. 2 rational roots.
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