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23 March, 11:10

Is x + 9 a factor of the polynomial P (x) = x^3 + 11x^2 + 15x - 27? If so, write the polynomial as a product of two factors. If not, explain how you know.

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  1. 23 March, 12:48
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    (x + 9) (x² + 2x - 3)

    Yes, x+9 a factor of p (x)

    Step-by-step explanation:

    x³ + 11x² + 15x - 27 = x² (x + 9) + (2x² + 15x - 27)

    = x² (x + 9) + (x + 9) (2x - 3)

    = (x + 9) (x² + 2x - 3)
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