"Abuse of power" is the term most often used to describe the unjust use of power.
Cruel
oppression
In politics one sometimes talks of arbitrary government. Another word that occurs to me is corruption.
Use of Power to Create a favorable position for self by destroying the rights and benefits available to others.
"Quadratic" in this sense means that the highest power used is two. This is similar to the use of "squared", for the power two. Since the highest power is two, you may need a term for the power two, a term for the power one, and a term for the power zero (the constant term). For comparison, a "cubic" expression means that the highest power that appears in an expression is the power 3.
The term "power play" means: 1. Tactics exhibiting or intended to increase a person's power or influence 2. The use of physical strength to overpower your opponent
The judge ruled the decision as unjust, as it did not account for all the evidence presented.
Oppressed refers to individuals or groups who are systematically mistreated, marginalized, or disadvantaged by those in positions of power, leading to the denial of their rights and opportunities. Oppression can manifest in various forms such as discrimination, violence, or socioeconomic barriers that limit one's ability to thrive and fully participate in society.
Power is the possession of control, authority, or influence over others. Oppression can be defined as the unjust or cruel use of that power or authority.
The term that means observation and inspection by the use of sight is "visual examination."
The word that means unfair use of government power is "tyranny."
All government types have the ability to become "cruel" or "unjust" commonly the term used is "Tyranny" but there have also been many other terms.