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22 December, 22:02

One factor of x^3+x^2-14x-24 is x-4. Finding the remaining factors and it's not - 3

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  1. 23 December, 00:49
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    Step-by-step explanation:

    x³ + x² - 14x - 24

    x³ + x² - 20x + 6x - 24

    x (x² + x - 20) + 6 (x - 4)

    x (x + 5) (x - 4) + 6 (x - 4)

    (x (x + 5) + 6) (x - 4)

    (x² + 5x + 6) (x - 4)

    (x + 2) (x + 3) (x - 4)

    The other two factors are x + 2 and x + 3.
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