Explanation:
The factored form of the polynomial is:
f(x) = (x-2)³(x+4)³(x+6)⁶
From this, we can see that the zeros of the function are: x = 2 (with multiplicity 3), x = -4 (with multiplicity 3), and x = -6 (with multiplicity 6).
Therefore, the correct answer is:
-6 with multiplicity 6; x = -4 with multiplicity 3; x = 2 with multiplicity 3.