Sum and Product of Conjugate Roots
## Formula
If the roots are:
$$a+ib,\qquad a-ib$$
then their sum is:
$$(a+ib)+(a-ib)=2a$$
and their product is:
$$(a+ib)(a-ib)=a^2+b^2$$
## Usage
- Used to form quadratic factors corresponding to conjugate complex roots.