Consider the following function:
F(s)=s+1/s²+2s+2. If we drew a CW squared closed contour in the s-plane with vertices (2,2),(2,-2),(-2,-2),(-2,2),

How many times would the corresponding contour plot in the F(s)-plane encircle the origin?

(Insert a number >0 for CW encirclements, <0 for CCW encirclements)