register_setting(
   'pluginPage',    // option group name
    'Settings Name',    // option name (used to store into wp-options
    array('sanitize_callback' => 'sanitize_callback' // sanitize the data function')
    );

function sanitize_callback($input)
    { $new_input = array();
  // ... some checking here, setting $new_input array values if $input array value exists
  return $new_input;}

<form action='options.php' method='post'>
        <?php
        settings_fields( 'pluginPage' );    // initializes all of the settings fields
        do_settings_sections( 'pluginPage' );   // does the settings section
        submit_button();    // creats the submit button
        ?>
    </form>