Instead of a quad driver, the 1989 Buick 3800's fuel injection system would be controlled by the engine control module (ECM), also sometimes called the powertrain control module (PCM). This is the main computer that manages various engine functions, including fuel delivery. The ECM is usually located somewhere under the hood, often near the firewall or tucked away in a less accessible spot. Its exact location might vary slightly depending on the specific model and options.
To find it, you'll need to consult your vehicle's repair manual or use an online resource specific to 1989 Buick 3800 models. Searching for "1989 Buick 3800 ECM location" online will likely yield images and descriptions to help you pinpoint it.