Laravel 5.1/Homestead PDOException

I am learning Laravel and migrations. I have installed Homestead successfully and everything is be up and running — MySQL included — until I give my first

php artisan migrate

and the shell outputs

  [PDOException]
  could not find driver

so I connect to the virtual machine via SSH and try to install the PHP extensions required to work with the database, but apt-get detects I have the latest driver version already installed. Then I check to see if PDO is working, so I type php -i | grep PDO and everything looks good:

PDO
PDO support => enabled
PDO drivers => mysql, pgsql, sqlite
PDO Driver for MySQL => enabled
PDO Driver for PostgreSQL => enabled
PDO Driver for SQLite 3.x => enabled

I am out of ideas, what could possibly go wrong?

via Chebli Mohamed