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5 January, 03:07

Is g (x) = (x-2) (x-9) (x-1) the factored form of f (x) = x^3+8x^2-11x-18

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  1. 5 January, 03:23
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    We can check to see if (x - 2) (x - 9) (x - 1) is the factored form of x^3 + 8x^2 - 11x - 18 by using foil.

    (x - 2) (x - 9) (x - 1)

    (x - 2) x^2 - x - 9x + 9

    Combine like terms.

    (x - 2) x^2 - 10x + 9

    FOIL again.

    x^3 - 10x^2 + 9x - 2x^2 + 20x - 18

    Combine like terms.

    x^3 - 12x^2 + 29x - 18

    The listed factors are not true factors of the given polynomial.
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