答：
4x^3-2x^2-2x+k能被x-2整除
4x^3-2x^2-2x+k
=4(x-2)x^2+6x^2-2x+k
=4(x-2)x^2+6x(x-2)+10x+k
=4(x-2)x^2+6x(x-2)+10(x-2)+k+20
能被x-2整除,则k+20=0
所以：k=-20