Is sigma 10-20mm 3.5 DC HSM compatible with Nikon D750?

I want to buy sigma 10-20mm 1:3.5 DC HSM. I know its a dx lens. I use Nikon D750 which is a fx body. But there's a option where i can use dx lenses on this fx body by using crop factor mood.
But I want to know is there anyone here who can say from his/her experience whether this lens is compatible with nikon full frame.
Thnaks in advance.

Cool

ALL Nikon FX cameras automatically crop the sensor when using DX lenses.

Knowing this, you will see that the answer to your question is yes it is compatible

It will not fill up the whole full frame digital sensor resulting to small pictures with fuzzy dark large borders. That is if the protruding rear end of the lens doesn't damage the full frame camera's reflex mirror.

All of Sigma lenses are made for specific lens mounts. If there's a 10-20mm lens "for Nikon" then get that one and it'll work on any Nikon DX-format DSLR.