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19 June, 03:07

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If (x + 2) is a factor of x^3 - 6x^2 + kx + 10, k = [ ].

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  1. 19 June, 03:14
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    k = - 11.

    Step-by-step explanation:

    By the Factor theorem if x + 2 is a factor of this expression then f (-2) = 0, so we have:

    (-2) ^3 - 6 (-2) ^2 - 2k + 10 = 0

    -8 - 24 + 10 = 2k

    k = - 22/2

    k = - 11.
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