Looks like Kurt Loder of MTV News has done his homework:
Unfortunately, in one instance, Sorkin ventures beyond the realm of taking liberties into factual distortion. In a proceeding at the U.S. Patent Office, we see a judge rejecting Farnsworth’s petition and awarding the rights to the contested television technology to Zworykin. This is the opposite of what actually happened. It was Farnsworth who prevailed, and RCA was eventually compelled to pay him $1 million to license his patents. And although the company’s ongoing appeals in the case drained the inventor financially, it’s not clear that they ground him down into a depressive, alcoholic has-been — Farnsworth went on to do important work in nuclear fusion, radar and electron microscopy, among other things.
The rest of the review is quite favorable — just an indication of what a conflicting experience this is for anybody who is familiar with the actual story.