[verb (plain)] + かもしれない [i-adj] + かもしれない [na-adj] + かもしれない [noun] + かもしれない
かもしれない means "might" or "may": the speaker thinks something is possible but doesn't know. It goes after the plain form, past or non-past, positive or negative. A noun or a な-adjective takes it directly, with no だ.
The polite form changes only the end: かもしれません. The verb in front stays plain.
In casual speech and in messages, かもしれない is cut to かも.