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9 May, 20:29

Is (x - 2) a factor of f (x) = x3 - 2x2 + 2x + 3? Use either the remainder theorem or the factor theorem to explain your reasoning.

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  1. 9 May, 23:25
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    Step-by-step explanation:

    According to factor theorem, if (x - 2) is a factor of f (x), then f (2) = 0.

    f (2) = (2) ³ - 2 (2) ² + 2 (2) + 3

    f (2) = 7

    Therefore, (x - 2) is not a factor of f (x).
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