How to hide multiple category listing in a post?

I have two category titles (Featured and Headline) I want to hide on my index page. I don’t want the actual post to be hidden though.

There was a previous resolved thread about this topic with the code but it only worked for one category. I couldn’t edit the code to include more than one category.

Here’s the code I’m using on my index page.

<?php
foreach((get_the_category()) as $category) {
    if ($category->cat_name != 'Featured') {
    echo '<a href="' . get_category_link( $category->term_id ) . '" title="' . sprintf( __( "View all posts in %s" ), $category->name ) . '" ' . '>' . $category->name.'</a> ';
}
}
?>