Assuming that the bolded word is winner, the correct answer is object complement.
The word winner refers to the word <em>play - </em>and given that the word play is the direct object of this sentence, then the word <em>winner </em>will be its complement - it will complete it, and answer the question What did the critics declare the play to be?
It cannot be a predicate nominative because it is not preceded by a verb. It cannot be a direct object because that is <em>the play. </em>It cannot be a predicate adjective because it is a noun, not an adjective.
Maybe being scared of things he never knew before ?
<span>The correct answer is become. If inventions and coaching techniques become even more technologically sophisticated (imagine scoring data, use of new computers and tablets, software programs or apps), then college sports will certainly change in this century.</span>
C because it's following a noun