This bash script will compile a static Ffmpeg build with NVENC and VAAPI hardware-accelerated support on Ubuntu in your home directory. You can modify the script to customize the build options as you see fit.

compile-ffmpeg.sh

#!/bin/bash

#This script will compile and install a static ffmpeg build with support for nvenc un ubuntu.
#See the prefix path and compile options if edits are needed to suit your needs.

#install required things from apt
installLibs(){
echo "Installing prerequisites"
sudo apt-get update
sudo apt-get -y --force-yes install autoconf automake build-essential libfreetype6-dev libgpac-dev \
  libtool libva-dev pkg-config texi2html zlib1g-dev
}


#Compile nasm
compileNasm(){
echo "Compiling nasm"
cd ~/ffmpeg_sources
wget http://www.nasm.us/pub/nasm/releasebuilds/2.14rc0/nasm-2.14rc0.tar.gz
tar xzvf nasm-2.14rc0.tar.gz
cd nasm-2.14rc0
./configure --prefix="$HOME/ffmpeg_build" --bindir="$HOME/bin"
make -j$(nproc)
make -j$(nproc) install
make -j$(nproc) distclean
}

#Compile libx264
compileLibX264(){
echo "Compiling libx264"
cd ~/ffmpeg_sources
wget http://download.videolan.org/pub/x264/snapshots/last_x264.tar.bz2
tar xjvf last_x264.tar.bz2
cd x264-snapshot*
PATH="$HOME/bin:$PATH" ./configure --prefix="$HOME/ffmpeg_build" --bindir="$HOME/bin" --enable-static
PATH="$HOME/bin:$PATH" make -j$(nproc)
make -j$(nproc) install
make -j$(nproc) distclean
}

#Compile libfdk-acc
compileLibfdkcc(){
echo "Compiling libfdk-cc"
sudo apt-get install unzip
cd ~/ffmpeg_sources
wget -O fdk-aac.zip https://github.com/mstorsjo/fdk-aac/zipball/master
unzip fdk-aac.zip
cd mstorsjo-fdk-aac*
autoreconf -fiv
./configure --prefix="$HOME/ffmpeg_build" --disable-shared
make -j$(nproc)
make -j$(nproc) install
make -j$(nproc) distclean
}

#Compile libmp3lame
compileLibMP3Lame(){
echo "Compiling libmp3lame"
sudo apt-get install nasm
cd ~/ffmpeg_sources
wget http://downloads.sourceforge.net/project/lame/lame/3.99/lame-3.99.5.tar.gz
tar xzvf lame-3.99.5.tar.gz
cd lame-3.99.5
./configure --prefix="$HOME/ffmpeg_build" --enable-nasm --disable-shared
make -j$(nproc)
make -j$(nproc) install
make -j$(nproc) distclean
}

#Compile ffmpeg
compileFfmpeg(){
echo "Compiling ffmpeg"
cd ~/ffmpeg_sources
git clone --depth 1 --branch n4.3.2 https://github.com/FFmpeg/FFmpeg
cd FFmpeg
PATH="$HOME/bin:$PATH" PKG_CONFIG_PATH="$HOME/ffmpeg_build/lib/pkgconfig" ./configure \
  --prefix="$HOME/ffmpeg_build" \
  --extra-cflags="-I$HOME/ffmpeg_build/include" \
  --extra-ldflags="-L$HOME/ffmpeg_build/lib" \
  --bindir="$HOME/bin" \
  --enable-gpl \
  --enable-libfdk-aac \
  --enable-libfreetype \
  --enable-libmp3lame \
  --enable-libvpx \
  --enable-libx264 \
  --enable-nonfree 
PATH="$HOME/bin:$PATH" make -j$(nproc)
make -j$(nproc) install
make -j$(nproc) distclean
hash -r
}

#The process
cd ~
mkdir ffmpeg_sources
installLibs
compileNasm
compileLibX264
compileLibfdkcc
compileLibMP3Lame
compileFfmpeg
echo "Complete!"