The teacher asked the students to bring their books to class tomorrow.

The correct choice is "to bring" as it represents an infinitive verb phrase that indicates the action that the teacher requested of the students. In this sentence, the phrase “to bring” functions as the object of the verb “asked,” detailing what the students were asked to do. Infinitive forms like “to bring” are useful for expressing actions that are intended or requested in a straightforward manner. This clarity in meaning makes it an essential component of the sentence, highlighting the specific action the teacher wants the students to carry out.