NOTE: It is customary to use "^" (shift-6) to denote exponents:
C(r) = (r-5)((-12r+1)^3)((r-2)^5)
1 factor of (r-5) --> root at r=5, multiplicity 1
3 factors of (-12r+1) --> root at r=1/12, multiplicity 3
5 factors of (r-2) --> root at r=2, multiplicity 5