Agree. But the original polynomial can be any degree above 0, not just cubic.Not necessarily, the remainder could be a 1st degree equation or a constant.
Consider (x^4 +2x^3 -7x^2 + 4)/(x^2) = x^2 + 2x + 4/(x^2). The remainder 4 is not 1st degree.
Sometimes the remainder will be 0!
It is true, that the remainder will be at most 1st degree.
The only useful link I can think of is to the definition of the polynomial division with remainder (e.g., https://en.wikipedia.org/wiki/Polynomial#Division). Then some not very complicated tricks can be used to get the answer.View attachment 29391
I do not need anyone to give me any answer(because who wants to do anyone's work). I just simply want some links that anyone could provide some knowledge needed to solve these types of questions. Thanks in advance.