Will this ram work with this computer?

No ... anything with SO-DIMM is laptop memory and not desktop memory. It is also DDR3 memory and you need DDR memory. Here is what you need: a href="http://www.crucial.com/store/listparts.aspx?model=OptiPlex%20GX260%20Series" rel="nofollow"http://www.crucial.com/store/listparts.a…/a You don't have to purchase that particular brand, but the amount and speed are correct.