There is ZERO Gentoo support here. AFAIKT there is No driver for Goodix GF3208 fingerprint scanner on ANY version of  Linux.

Installing Gentoo on a UEFI-capable system is now covered by the Gentoo Handbook. Please follow the relevant steps in the Handbook when running on a UEFI-enabled boot medium such as the LiveDVD.

Ubuntu works with the Generic Settings.

There is support for Redhat and Ubuntu but its not FREE.

Model : Dell Inspiron 15 i5559-4682SLV Signature Edition
CPU : Intel Skylake 6200u 2.3 Ghz
RAM : 8GB DDR3 RAM
GPU : Intel HD 520 (1920x1080p with touch screen)
HDD : Crucial MX300 275GB SSD
Wifi Card : Broadcom BCM94352Z (Purchased separately)
Bios version : Dell BIOS 1.2.4

Step 1 : Prepping the BIOS
1. Press F12 at the boot screen to get into the boot menu and select BIOS Setup from the list
2. Click on Restore Settings to set the Default Settings in the BIOS
3. Disable VT for Direct I/O under Virtualization Support in the BIOS menu
4. Make sure SATA Operation under System Configuration is set to AHCI
5. Click on Apply and save the settings

This system was tested with 14.04 LTS, running the 3.19.0-27-generic kernel.

Since this is 2018  18.04.2 LTS is the minimum I would recommend.

http://releases.ubuntu.com/18.04/ubuntu-18.04.2-desktop-amd64.iso

There are no special kernel notes for this machine.

BIOS Dell: 1.2.4 (UEFI)

Hardware summary

This system was tested with these key components:

Processor	Intel Intel(R) Core(TM) i3-6100U CPU @ 2.30GHz
Video	Intel Sky Lake Integrated Graphics
Ethernet	Realtek Semiconductor Co., Ltd. RTL8101E/RTL8102E PCI Express Fast Ethernet controller
Wireless	Intel Wireless 3165

Hardware details

Audio	Intel Sunrise Point-LP HD Audio Intel Unknown
BIOS	Dell 1.0.3
Bluetooth	Intel 8087:0a2a
Board	Dell Unknown
Cardreader	Realtek Semiconductor Co., Ltd. RTS5129 Card Reader Controller
Cdrom	Aquantia Corp. HL-DT-ST DVD+/-RW GU90N
Chassis	Dell Docking Station Dell Laptop
Disk	Aquantia Corp. WDC WD10JPVX-75JC3T0
Efi	American Megatrends Inc. EFI v2.40
Keyboard	Aquantia Corp. AT Translated Set 2 keyboard
Network	Realtek Semiconductor Co., Ltd. RTL8101E/RTL8102E PCI Express Fast Ethernet controller
Processor	Intel Intel(R) Core(TM) i3-6100U CPU @ 2.30GHz
System	Dell Inspiron 5559
Touchpad	Aquantia Corp. SynPS/2 Synaptics TouchPad
Usb	Intel Sunrise Point-LP USB 3.0 xHCI Controller
Video	Intel Sky Lake Integrated Graphics
Wireless	Intel Wireless 3165
Other	Aquantia Corp. DELL Wireless hotkeys Aquantia Corp. Dell WMI hotkeys Aquantia Corp. HDA Intel PCH HDMI/DP,pcm=3 Aquantia Corp. HDA Intel PCH HDMI/DP,pcm=7 Aquantia Corp. HDA Intel PCH HDMI/DP,pcm=8 Aquantia Corp. HDA Intel PCH Headphone Mic Aquantia Corp. Lid Switch Aquantia Corp. Power Button Aquantia Corp. Sleep Button Aquantia Corp. Video Bus Intel Sky Lake Host Bridge/DRAM Registers Intel Sunrise Point-LP SATA Controller [AHCI mode] Intel Sunrise Point-LP PCI Express Root Port #5 Intel Sunrise Point-LP PMC Intel Sunrise Point-LP SMBus Intel Sunrise Point-LP Thermal subsystem Intel Sunrise Point-LP CSME HECI #1 Intel Sunrise Point-LP LPC Controller Intel Sunrise Point-LP Serial IO I2C Controller #0 Intel Sunrise Point-LP Serial IO I2C Controller #1 Linux Foundation 2.0 root hub Linux Foundation 3.0 root hub Linux Foundation 2.0 root hub Intel Intel(R) RealSense(TM) 3D Camer