Irredeemable (adjective)

1. Impossible to correct or improve.
2. Impossible to buy back or regain possession of.
3. Impossible to redeem or save morally.

Origin:

From the latin "irredeemabilis", which itself is composed of the prefix "in-" meaning "not" and the verb "redeem" meaning "to buy back".

Examples:

1. The politician's reputation was irredeemable after the scandal broke.
2. The company's financial situation was irredeemable, and it had to file for bankruptcy.
3. After years of drug addiction, many believed the actor's life was irredeemable.
4. Due to the irreparable damage caused by the fire, the building was considered irredeemable.
5. The criminal's actions were considered irredeemable by society and he was given a life sentence.