Here is the item:
Charlie believed that he had __________ the best essay of the semester, but when Professor Varner returned the paper, the slashes of red ink and caustic comments immediately changed his opinion of the work.

The blank requires the past participle of write, an irregular verb. You chose written, the correct form. Excellent decision!

Verb Simple
Present
Simple
Past
Past
Participle
write write(s) wrote written

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