Without the knowledge of a character's components or radicals, I find some difficulty recalling the meaning or pronunciation of that character. I have looked at this poster containing radicals here, but cannot place which radicals comprise it. I'd appreciate any help. Thank you!
The correct term is just components. Characters aren't comprised of radicals (部首; section header). Radicals are just modern stroke-shapes used as indexing tools to mark the heading (首) of dictionary sections (部), equivalent to the first letter of an English word when you look it up in a dictionary ("A", "B", "C", etc.), and may not be related to the character at all.
Since a character isn't indexed under more than one radical in a dictionary, we also don't speak of characters having multiple radicals, just like English words don't have more than one first letter.
Be wary of the shape changes in 「兼」 over the course of history: 「又」 is still present in the middle of 「兼」 and now looks like 「⋺」, while the top of 「禾禾」 has been reduced to 「䒑」.