No kernel support means you can't play games and watch pictures and videos without a separate graphics card, so you have to buy a separate graphics card,
CPU with core display indicates that the processor integrates a core graphics card, which can display the picture without an independent graphics card. On the contrary, a CPU without a core display requires an additional independent graphics card to display the picture properly. The CPU performance of the processor with the core version and the non-core version of the same chip is basically the same.
The processor does not support core display, which means that it does not have the components of the core graphics card, can not run games that require graphic detail, and can not run programs that create 3d modeling.
Unless you spend extra money on a graphics card, which can make up for the lack of cpu display capabilities. And if there is no graphics card as an aid, the cpu will not be able to perform the above missing functions, can not run and display screen related programs.
The core display means that the graphics card is integrated in the CPU (the performance is not very good, there is no high performance alone). The core display chip is the core display, the processor does not support the core display, which means that there is no integrated graphics card in the processor, and an independent graphics card is required to display.