In this case we need to test the remainder r = -1.

R = f(r) = f(-1)

= (-1)3 + 2(-1)2 - 5(-1) - 6

= -1 + 2 + 5 - 6

= 0

Therefore, since f(-1) = 0, we conclude that (x + 1) is a factor of f(x).