Question

The complex conjugates theorem states that
another factor of the polynomial is

Answer 1

x-3i

Explanation:

Answer 2

Explanation:

...exactly the same but with a different sign separating them. For example, if a root of a polynomial is

3 + 4i, then the other root has to be 3 - 4i because they always come in pairs. Always!! If a root is -2 - 3i, then the other root has to be -2 + 3i. Notice that the only sign that will change is the one that separates the a part of the complex number from the b part.

This phenomenon also applies to radicals. If we have a root that is
`-3 + √(5)`
`-3 +√(5)` then the other root has to be
`-3 -√(5)`