Find all real zeros of the function. $$ g(x)=4 x(x-1)^{2}(x-2)^{2} $$ If there is more than one answer, separate them with commas. zero(s): $$ \square $$

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1. We have the function
   $$
   g(x)=4x(x-1)^2(x-2)^2.
   $$
   
2. To find the real zeros, we set $$ g(x)=0 $$:
   $$
   4x(x-1)^2(x-2)^2=0.
   $$

3. Since the factor $$ 4 $$ is nonzero, the equation is satisfied when any of the other factors are zero:

- $$ x=0 $$,
   - $$ (x-1)^2=0 $$ leads to $$ x-1=0 $$ or $$ x=1 $$,
   - $$ (x-2)^2=0 $$ leads to $$ x-2=0 $$ or $$ x=2 $$.

4. The real zeros are:
   $$
   0, \, 1, \, 2.
   $$

zero(s): $$0,1,2$$
zero(s): $$0, 1, 2$$

Find all real zeros of the function.

If there is more than one answer, separate them with commas.
zero(s):

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Find all real zeros of the function. If there is more than one answer, separate them with commas. zero(s):