Don't bother with those battery extender apps. If such apps
could help you save battery life, they won't need to run in the
background.
If I were you, I'll forego the warranty, and researh on flashing
a custom rom for the note.
For all android phones, the firmware, and rom only touches the
interface, its the kernel that messes the battery life.
When I first got my one x, that battery life really sucked, but
2 updates later, the kernel was tweaked by HTC, and my battery life
is just wonderful now.