Check Feature Usage

SET LINESIZE 200

SELECT u1.name, u1.detected_usages

  FROM dba_feature_usage_statistics u1

 WHERE u1.version = (SELECT MAX(u2.version)

                       FROM dba_feature_usage_statistics u2

                      WHERE u2.name = u1.name

                        AND u1.name LIKE 'Part%') 

 ORDER BY u1.name;

If the detected usages for "Partitioning (user)" is non-zero, then you need a Partitioning option license.

Oracle Partitioning Features

Bibliography