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.

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- Nov 13th 2012, 10:38 AMPaulAdrienMauriceDiracPolynomial Degree Problem
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. - Nov 13th 2012, 01:07 PMPaulAdrienMauriceDiracRe: Polynomial Degree Problem
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