For which value of k is the value of k(k - 2)(k + 1) negative?
A. -2
B. -1
C. 0
D. 2
E. 3
If k equals 0, 2, or -1, k(k - 2)(k + 1) evaluates to 0. Thus eliminate options B, C, and D. Plug the two remaining answer options into k(k - 2)(k + 1)
K = 2
k(k - 2)(k + 1) = -2(-2 - 2)(-2 + 1)
= -2 (-4) (-1)
= -8. Thus option A.