I solved it, I don't know why I didn't see it, this was very easy.
Since , this means that has at least 10 roots so it is at least degree 10 polynomial.
, has to be 1 since maximum coefficient is 1, so
Hello, this problem is again from Gelfand and Shen's Algebra textbook.
Problem 171: The highest coefficient of is 1, and we know that What is the minimal possible degree of ? Find for this case.
Any hints would be appreaciated.