Did you search the "synaptics touchpad" in the Microsoft Store and then you try to installed it?
Or did the "synaptics touchpad" app was already in the pending installation queue and failed to install?
You need to answer this question.
You are in no man's land. The legacy GUI to control the touchpad has been REMOVED and the new GUI now resides in the Microsoft Store app that you cannot install. The app's GUI on a HP laptop looks like this.
Microsoft forced all hardware manufacturers to adopt this new driver system because it is easier for Microsoft to test only the small driver quickly. Microsoft also made it next to impossible for end users like you to go back to legacy drivers. Don't even try and ask for magical solutions (like Time Lady's solution). You cannot roll back to old drivers. You cannot install old drivers over this new driver. System Restore will not work. None of the easy solutions work, period.
You need to contact HP and tell them the precisely if the scenario you are facing is question number 1 or number 2 above. Tell them it is the new DCH driver and UWP (Universal Windows Platform app called Synaptics TouchPad app from the Microsoft Store).
I know precisely the reasons behind both scenarios because Realtek has been offering their version of the "app" for their audio driver since June 2018. This is not something new. There has been a 18 month of complete chaos in the Realtek world. There are tech forum discussions about the Realtek app that spans over hundreds of pages long. No magical solutions, period.
https://www.onmsft.com/news/official-realtek-app-spotted-in-the-windows-10-microsoft-store