Collocations for convincing - adj.

be, look, seem, sound
find sth
I found his argument pretty convincing.

make sth
Details make your story more convincing.

extremely, fairly, very, etc.
completely, thoroughly, totally, utterly
hardly, not altogether, not entirely, not wholly
far from, not remotely
He was far from convincing as a leader.

enough, sufficiently
She produced a convincing enough performance as the wronged wife.

Convincing is used with these nouns:
answer, argument, case, demonstration, evidence, excuse, explanation, fashion, imitation, performance, proof, reason, story, victory, win, winner