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13 August, 09:55

Write a polynomial equation of degree 4 that has the following roots: - 1 repeated three times and 4

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  1. 13 August, 10:21
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    Roots = - 1, - 1, - 1, 4

    (x + 1) (x + 1) (x + 1) (x - 4) = 0

    (x^2 + 2x + 2) (x^2 - 3x - 4) = 0

    x^2 (x^2 - 3x - 4) + 2x (x^2 - 3x - 4) + 2 (x^2 - 3x - 4) = 0

    x^4 - 3x^3 - 4x^2 + 2x^3 - 6x^2 - 8x + 2x^2 - 6x - 8 = 0

    x^4 - x^3 - 8x^2 - 14x - 8 = 0
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