since it seems to be a good price just 130$ for a 300mm lens but i read one of the reviewer wrote
"D40 owners, forget it, this is not an AF-S lens" so im completely new at this, first of all
What is AF-S?
What is VR?
and will the lens work with my Nikon D40?
HOW CRUCIAL IS THE AuToFocus in a lense???
The D40 is Nikon's first DSLR to break from its tradition of including the focus motor in the body. Instead, D40 users must purchase lenses with the focus motor built in them (AF-S/AF-I). You'd probably be able to mount the lens but won't be able to use autofocus.
VR (vibration reduction) is what Nikon names its optical image stabilization.
Autofocus is nice to have but isn't necessarily required if manual focus is available. A camera/lens with autofocus does exactly what it implies: it focuses for you. This is a good thing to have when shooting moving subjects or fast-action scenes. It's really useful in many different situations, but many photographers had been making a good living prior to its invention.
If the lens in question does not have a focus ring, the lens will be useless. If it does, which it probably does, you can manually focus it through the viewfinder. If the D40 has focus indication your job will be a lot easier; if not, it may be a bit difficult for you to use since it's a pretty slow lens. If you have a good pair of eyes and don't mind the extra work (and the occasional missed photo-op), go for it.

The D40 is Nikon's first DSLR to break from its tradition of including the focus motor in the body. Instead, D40 users must purchase lenses with the focus motor built in them (AF-S/AF-I). You'd probably be able to mount the lens but won't be able to use autofocus.
VR (vibration reduction) is what Nikon names its optical image stabilization.
Autofocus is nice to have but isn't necessarily required if manual focus is available. A camera/lens with autofocus does exactly what it implies: it focuses for you. This is a good thing to have when shooting moving subjects or fast-action scenes. It's really useful in many different situations, but many photographers had been making a good living prior to its invention.
If the lens in question does not have a focus ring, the lens will be useless. If it does, which it probably does, you can manually focus it through the viewfinder. If the D40 has focus indication your job will be a lot easier; if not, it may be a bit difficult for you to use since it's a pretty slow lens. If you have a good pair of eyes and don't mind the extra work (and the occasional missed photo-op), go for it.
References :