I also experienced scroll bars around the exercise frame in the scorm player. For me, the following solution worked:
Adapt the following file:
<moodle_root_dir>\server\moodle\lib\yui\2.9.0\build\assets\skins\sam\skin.css
look for:
.yui-layout-scroll div.yui-layout-bd{overflow:auto;}
and change it in:
.yui-layout-scroll div.yui-layout-bd{overflow:visible;}
Then refresh your local cache, and the scroll bars have disappeared.