In the context of forming plurals, which word is correctly formed?

The word "children" is the correct form of the plural for the singular noun "child." This pluralization is an example of an irregular plural form, where the word does not simply add an "s" or "es" to the end. Instead, "child" changes internally to become "children," which is a specific feature of English that involves vowel alteration.

The other options do not follow standard pluralization rules correctly. "Childs" incorrectly adds an "s" to a word that does not take an "s" for its plural form. "Peoples" might be used to denote different groups of people in certain contexts, but it is not the standard plural for the word "person," which is "people." "Infos" is another example where the plural form does not conform to the accepted standard; the term "information" is typically considered uncountable and does not take a plural form. Hence, "children" is the only option that accurately reflects the correct pluralization in this context.