Disable Faulty GPU

What is the preferred way to disable a specific GPU, preferably at boot time?

We has a multi-GPU system and one of them is failing in a way which will make the driver unresponsive for a very long time. I can manually disable the GPU by using the following:

nvidia-smi -i PCI_BUS_ID -pm 0
nvidia-smi drain -p PCI_BUS_ID -m 1

However, I would prefer if the NVIDIA driver did not make the device available at all. The BIOS of the motherboard only has the option to disable the option ROM, not the device.