Algebra-2

To determine the correct factored form of a polynomial with the given roots -8, 4i, and 12, we need to consider the following:

1. The root -8 gives the factor (x + 8) because when x = -8, the factor (x + 8) = (-8 + 8) = 0.

2. The root 12 gives the factor (x - 12) because when x = 12, the factor (x - 12) = (12 - 12) = 0.

3. The root 4i must have its conjugate -4i as a root as well. I...