The only type of extended warranty I'd consider is from the actual manufacturer - Toshiba in this case. But that only covers hardware failure.
More early failures are due to accidental damage (dropping, etc) than hardware failure.Extended Service Plans & Accidental Damage Coverage
Things are slightly different for students. Student Personal Property coverage
Accidental Damage, Theft, Fire, Flood, Natural Disasters, Vandalism and Lightning Strikes coverage for more than just laptops.