3.2 ghz quad core, 2.3 ghz eight core, which is more powerful for gaming?

depends on what type of games you play.

Depends on what type of games you play,

Depends on the game, if its a recent game that takes advantage of multiple core then the latter,. if its an older game that uses a single core the former.

What games do you play? older games I would say the former, newer games the later.

Depends on the game and specific make/model of CPU, but as a general rule, the GPU does most of the work when gaming.

However, since you have access to the interweb....figure out the specific CPU's you are trying to compare and google the Bench Marks for them.

choose which on they have a plus or a minus on diferent apps .depends on what the game demands , it could run on iether 4 or 8 core , depend on what type of proccesor , 8 core atom , or 4 core u7 or it could be a ryden 7 processor , best would be the ryden 7 as its designed for games , intel runs business programs better .careful which you choose , either for business or a games machine .

depends on what type of games you play, but possibly the quad core

My gaming rig has a quad-core 3.8 GHz i7 and paired with 32 GB of RAM and a GTX 1660Ti it runs every game that I have bought.

A single core 3 GHZ CPU can run Crisis well with a good GPU.

2.3 is slow regardless of the number of cores , it also depends on the motherboard many cannot handle 8 lanes of data 

The answer hinges on which processors you're talking about to begin with. Older games and a few newer games don't use a lot of cores, but newer games will use a lot of cores. However with these newer games, having a higher number of cores with lower clock speeds will still hinder performance. 

Also, with gaming the Graphics card does most of the work. Your question about the CPU is mostly irrelevant because a PC with a great CPU and a crappy GPU will still play games like junk.