Does residue theorem require poles inside the contour?

[markov4]

Homework Statement

The Attempt at a Solution

So i have poles at: z=-1 of order 3, z=1 and z=2. For part i), no poles are located inside the contour, therefore the residue is 0. <--is that right to say, that since there are no poles inside the contour, the residue is zero?

 

[HallsofIvy]

Yes, exactly!