The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
My brother performed / extremely good / in the class test / held yesterday.

The correct option containing the grammatical error is extremely good.

Step-by-step Explanation:
1. Analyze the sentence structure: The sentence is "My brother performed extremely good in the class test held yesterday."
2. Identify the verb and its modifier: In this sentence, the word "performed" acts as the main action verb. To describe how this action was carried out (i.e., to modify the verb "performed"), we must use an adverb rather than an adjective.
3. Identify the grammatical error: The word "good" is an adjective, which is used to describe nouns (for example, "a good test"). To modify a verb, the adverb form "well" must be used. Therefore, "extremely good" is grammatically incorrect in this context.
4. Correct version: Replacing the adjective "good" with the adverb "well" resolves the error. The grammatically correct sentence is: "My brother performed extremely well in the class test held yesterday."