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6 January, 05:22

Use the factor theorem to determine whether the binomial x-3 is a factor of the polynomial function f (x) = - 5x^3 + 16x^2 - 9

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  1. 6 January, 05:46
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    (x - 3) is a factor of f (x)

    Step-by-step explanation:

    If (x - h) is a factor of f (x) then f (h) = 0 ← factor theorem

    Thus if (x - 3) is a factor of f (x) then f (3) = 0

    f (3) = - 5 (3) ³ + 16 (3) ² - 9 = - 135 + 144 - 9 - 0

    Thus (x - 3) is a factor of f (x)
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