SOLUTION: Given the function C(r)=(r-5)(-12r+1)3(r-2)5 its roots are and their multiplicities are

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Question 1188025: Given the function
C(r)=(r-5)(-12r+1)3(r-2)5
its roots are
and their multiplicities are

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


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