This is my first post here, and any help is really appreciated.

I have two complex polynomials 

f(w)= w^8+w^6+4*w^4+w^2+1 , and 

g(w)= w^16+2*w^14+9*w^12-2*w^10+44*w^8-2*w^6+9*w^4+2*w^2+1 .

I want to plot the roots of f in blue, roots of g in red and a unit circle in black at the same picture. 

Thanks in advance for your help.