Answer:
X=6 , X = -2
Explanation:
For any polynomial given in factorised form , the roots are determined as explained below:
Suppose we have a polynomial
(x-m)(x-n)(x+p)(x-q)
The roots of above polynomial will be m,n,-p, and q
Also if we have same factors more than once , there will be duplicate roots.
Example
(x-m)^2(x-n)(x+p)^2
For above polynomial
There will be total 5 roots . Out of which 2(m and -p) of them will be repeated. x=m , x=n , x =-p
Hence in our problem
The roots of f(x)= (x-6)^2(x+2)^2 are
x=6 And x=-2