Is “their expensive painting” a complete sentence or fragment

A sentence must contain both a subject and a verb.

"Their" is a possessive adjective/possessive pronoun. "expensive" is an adjective because it gives more details to the noun painting. "painting" is a noun and could most likely be the subject, but there is no verb.

From this evaluation, this is a fragment.

(3x2 + 8) (x – 5)

step-by-step explanation:

verify this answer by multiplying out the parens:

which is the same as the original form of the polynomial

the answer is true.

the international phonetic alphabet (a standardized system of phonetic symbols devised and maintained by the international phonetic association) is composed of one or more elements of two basic types, letters and diacritics.