I'll try to figure this out myself,
You may refer to the code 35 information stated in Microsoft website Code 35: Your computer's system firmware does not include enough information to properly configure and use this device. and https://support.microsoft.com/en-us/kb/310123.
Have you tried contacting your computer manufacturer in regard to this matter?
First is this the driver from Toshiba or from Intel Downloadcenter? If it's the first contact Toshiba helpdesk, if it's the latter read further.
You can force install a driver on your laptop. If it's not signed by Toshiba the laptop doesn't let you install it. But when you use the 'have disk' method you will be able to forcibly install the driver. I just did the same with my HP laptop with Celeron N2810. Just make sure your processor is listed in the supported processors column of the Intel driver. And the same applies for your operating system.
!! Even so this procedure is at your own risk!!
Check out this tutorial: How to forcibly update your Intel drivers *AT YOUR OWN RISK* - Beamdog Forums