To solve the equation a (a^2 - 16) (a - 2) = 0, we can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.
So, we need to find the values of a that make each factor equal to zero.
a = 0 is a solution, since any number times zero is zero.
a^2 - 16 = 0 can be factored as (a - 4)(a + 4) = 0. So, a = 4 or a = -4 are solutions.
a - 2 = 0 gives us a = 2 as a solution.
Therefore, the possible solutions to the equation are a = 0, a = 4, a = -4, and a = 2.
So, the answers to select from are: 0, 6, 4, 16, 1, 2, -4, 8. Among these options, the possible solutions to the equation are 0, 4, -4, and 2.