The correct option is A persuasive
Persuade is a verb which means induce (someone) to do something through reasoning or argument. The adjective form should describe a person good at persuading someone to do or believe something through reasoning or the use of temptation
Option A: Is an adjective which means exactly the same as stated above
Option B: Is the noun form of the given adjective
Option C: Is not a word in the English language
Option D: Is not a word in the English language
Option A is the correct answer.