Answer:
option c : k = 8
Step-by-step explanation:
Given ( x+ 2 ) is a factor of f(x) , that is f( -2 ) = 0
[tex]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 = \frac{-16}{-2} = 8[/tex]
