Question

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Answer 1

The correct answer to this question is C.. K=8

Answer 2

option c : k = 8

Explanation:

Given ( x+ 2 ) is a factor of f(x) , that is f( -2 ) = 0

`f(x) = x^3 -9x^2 + kx + 6 0\\\\f(-2) =0\\\\(-2)^3 - 9(-2^2) + k (-2) + 60 = 0\\\\-8 - 36 -2k + 60 = 0\\\\-2k + 16 = 0\\\\-2k = -16\\\\k = (-16)/(-2) = 8`