Factor completely.

-2k - k 3 - 3k 2

k(-k + 1)(k - 2)
-k(k - 1)(k - 2)
-k(k + 1)(k + 2)

-k (k + 2) (k + 1)

Step-by-step explanation:

Factor the following:

-k^3 - 3 k^2 - 2 k

Factor -k out of -k^3 - 3 k^2 - 2 k:

-k (k^2 + 3 k + 2)

The factors of 2 that sum to 3 are 2 and 1. So, k^2 + 3 k + 2 = (k + 2) (k + 1):

-k (k + 2) (k + 1)

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step-by-step explanation: