Final answer:
The factored form of the cubic function with a double root at -4 and a root at 2 is (x+4)(x+4)(x-2).
Step-by-step explanation:
The factored form of a cubic function includes the roots of the function.
Given that the cubic function has a double root at -4 and a single root at 2, the factored form can be expressed as:
f(x) = (x+4)(x+4)(x-2)