are you using the ‘showcase’ template for the static front page?
in this case, you need to start by creating a child theme to work with – https://codex.www.ads-software.com/Child_Themes
then edit showcase.php in the child theme; and remove this section (line 159 to 212):
<section class="recent-posts">
<h1 class="showcase-heading"><?php _e( 'Recent Posts', 'twentyeleven' ); ?></h1>
<?php
// Display our recent posts, showing full content for the very latest, ignoring Aside posts.
$recent_args = array(
'order' => 'DESC',
'post__not_in' => get_option( 'sticky_posts' ),
'tax_query' => array(
array(
'taxonomy' => 'post_format',
'terms' => array( 'post-format-aside', 'post-format-link', 'post-format-quote', 'post-format-status' ),
'field' => 'slug',
'operator' => 'NOT IN',
),
),
'no_found_rows' => true,
);
// Our new query for the Recent Posts section.
$recent = new WP_Query( $recent_args );
// The first Recent post is displayed normally
if ( $recent->have_posts() ) : $recent->the_post();
// Set $more to 0 in order to only get the first part of the post.
global $more;
$more = 0;
get_template_part( 'content', get_post_format() );
echo '<ol class="other-recent-posts">';
endif;
// For all other recent posts, just display the title and comment status.
while ( $recent->have_posts() ) : $recent->the_post(); ?>
<li class="entry-title">
<a href="<?php the_permalink(); ?>" title="<?php printf( esc_attr__( 'Permalink to %s', 'twentyeleven' ), the_title_attribute( 'echo=0' ) ); ?>" rel="bookmark"><?php the_title(); ?></a>
<span class="comments-link">
<?php comments_popup_link( '<span class="leave-reply">' . __( 'Leave a reply', 'twentyeleven' ) . '</span>', __( '<b>1</b> Reply', 'twentyeleven' ), __( '<b>%</b> Replies', 'twentyeleven' ) ); ?>
</span>
</li>
<?php
endwhile;
// If we had some posts, close the <ol>
if ( $recent->post_count > 0 )
echo '</ol>';
?>
</section><!-- .recent-posts -->
if this is not it, please post a link to your site to illustrate your situation.