Solving Expressions Analytically Consider the following equation: x3+4x2+4x+16=0. Solve for x. Your answer should be stored in a variable result, which will be a list containing three sympy expressions.

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)