What is the effect of the polynomial on the final result in CRC32?

Question

Programming

I am writing a term paper on CRC32, and I ran into a number of questions in which I am not very competent.
Can you help?
Questions:
1. How does the polynomial affect the CRC?
2. Is it possible to adjust the algorithm or polynomial so that the results of crc are in a certain range? for example from 0x0 - 0xaffffffff.
3. Adjust the algorithm so that the results are always within the range 0x0-0xeffffffff
Thank you all :)

Answer 1

1. How does the polynomial affect the CRC?

CRC is the remainder of dividing the input by the polynomial.
I'm not sure if it's possible to tweak the division algorithm so that it remains a division algorithm but produces a different result. But you can reduce the polynomial.
This is a task, not a question. Do your homework yourself.