2 players on the same xbox360 console, is this possible?

Sadly it is not.

so, to play with my son at home against him i have to buy 2  360 console and another remote and another membership and another tv just to play plants vs zombies garden warfare?

2 players on 360, zombies garden warfare, play at home do i need?  equals 2 games, 2 360 consoles, 2 tvs, 2 controllers, 2 live memberships, help how do i play with my son at home on this game. also if i buy a xbox one and use the xbox 360 then can i play this same game with him at home?

help again. thanks

Correct. They didnt include A split Screen option for the Xbox 360 Version, only the Xbox One version. 

Have you thought about upgrading? It would be cheaper and Easier just to buy the X1 as you only need 1 copy of the game and 1 Xbox live subscription.

EDIT:

So to clarify, You can NOT play Split Screen with your son on the Xbox 360. 

If you want to play Garden Warfare on the Same TV, you will need the Xbox ONE version of the game. Then you can play "split screen" and you only need the 1 Xbox live gold account. Unlke the Xbox 360, The xbox one lets you only pay for 1 Gold account and then you can share that with your family. 

thx, so if i buy x1 i can play with or against my son pvz garden warfare at home together, and one need one console and one game and one membership? thanks

You can play with him in Garden Ops mode but you cant play against him in Multiplayer. 

So to do this you need. 1 Xbox One console, 1 Copy of the game, 1 Xbox live GOLD account (any accounts linked to that console will automatically be upgraded to Gold, so you only need to PAY for one) and 2 Controllers. 

You will also noticed that the game looks better and plays alot smoother becasue it has a higher framerate. 

? i can play with him on a 360 in garden ops at home?

thx, can i play with him at home with a 360 and a x1 console, with each of us on each separate console? also can he play with a friend who has an 360 and he has an x1 console on the same pvz garden warfare game? thanks again lol