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25 August, 08:08

Three is a zero of the equation x3-4x2-3x+18=0. which factored form is equivalent to the equation?

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  1. 25 August, 10:51
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    Three is zero of the equation, so,

    ↪f (3) = 0

    Here,

    ↪x³-4x²-3x+18=0

    ↪ x³-4x²+3x-6x+18=0

    ↪ x³-3x²-x²+3x-6x+18=0

    ↪ x² (x-3) - x (x-3) - 6 (x-3) = 0

    ↪ (x-3) (x²-x-6) = 0

    ↪f (3) = (x-3) (x²-x-6) ➡equivalent factored form
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