Which of these Motherboards are compatible with my Laptop?

[Pippard]

My Laptop is currently running on an i3-4000m but I am thinking of replacing it with an  i7-4702MQ.

This list taken from page 24 of the manual: 

For use only on computer models equipped with the Intel HM86 chipset, a graphics
subsystem with 2 GB of discrete memory, and the Windows 8 Standard
operating system 713256-501

For use only on computer models equipped with the Intel HM86 chipset, a graphics
subsystem with 1 GB of discrete memory, and the Windows 8 Standard
operating system 735080-501

For use only on computer models equipped with the Intel HM86 chipset, a graphics
subsystem with UMA memory, and the Windows 8 Standard operating system 713255-501

For use only on computer models equipped with the Intel HM76 chipset, a graphics
subsystem with 2 GB of discrete memory, and the Windows 8 Standard operating system 720459-501

http://h10032.www1.hp.com/ctg/Manual/c04069163

And also, does the discrete graphics chip come with the motherboard or do I have to purchase it separately? 

"Switchable Discrete Graphics:
● AMD Radeon HD 8670M (64 bit), M2
package, 28 nm, 25 W, 4 pcs of
dedicated video memory (2 GB
VRAM, 256 MB×16, DDR3, 1 GHz×4
pcs)
● AMD Radeon HD 8670M (64 bit), M2
package, 28 nm, 25 W, 4 pcs of
dedicated video memory (1 GB
VRAM, 128 MB×16, DDR3, 1 GHz×4
pcs, 1 GHz bridge to 900 MHz)
Support for HD decode, DX11, and HDMI"

[banhien]

@Pippard 

The specs of your machine is

       https://support.hp.com/au-en/document/c03908886

Your machine uses part # 713255-501 for system board. You should be able to use part # 713256-501 but you would need 90W Charger part # 710413-001 because your old 65W is less power to run .

Regards.