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20 April, 04:21

What is the factored form of y=x^3+3x^2-x-3 and what the zeros

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  1. 20 April, 07:41
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    y = x³ + 3x² - x - 3

    0 = x³ + 3x² - x - 3

    0 = x² (x) + x² (3) - 1 (x) - 1 (3)

    0 = x² (x + 3) - 1 (x + 3)

    0 = (x² - 1) (x + 3)

    0 = (x² + x - x - 1) (x + 3)

    0 = (x (x) + x (1) - 1 (x) - 1 (1)) (x + 3)

    0 = (x (x + 1) - 1 (x + 1)) (x + 3)

    0 = (x - 1) (x + 1) (x + 3)

    0 = x - 1 or 0 = x + 1 or 0 = x + 3

    + 1 + 1 - 1 - 1 - 3 - 3

    1 = x or - 1 = x or - 3 = x

    Solution Set: {-3, - 1, 1}
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