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23 July, 01:50

Is the binomial x-9 a factor of 4x^3-28^2-36x-27

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  1. 23 July, 04:35
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    No

    Step-by-step explanation:

    If (x - 9) is a factor then x = 9 is a root and f (9) = 0

    f (x) = 4x³ - 28x² - 36x - 27, hence

    f (9) = 4 (9) ³ - 28 (9) ² - 36 (9) - 27

    = 2916 - 2268 - 324 - 27 = 297

    Since f (9) ≠ 0 then (x - 9) is not a factor of f (x)
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