Answer:
List is {-2i, 2i, -4)
Step-by-step explanation:
This is a third order polynomial, so we expect three roots (solutions).
Note that we can factor this expression by grouping:
(x²)(x + 4) + (4)(x + 4) = 0, or
(x + 4)(x² + 4) = 0
The factor (x + 4) corresponds to the root/solution x = -4, and:
The other factor (x² + 4) corresponds to the roots/solutions x = 2i and x = -2i.
List is {-2i, 2i, -4)
