If you find any mistakes, please make a comment! Thank you.

Compute in a quotient of a polynomial ring

Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 7.4 Exercise 7.4.16


(1) Evidently, $$\overline{g(x)} = \overline{-2x^3 + 25936x + 3}.$$ (2) Note that $$x^4-16 = (x+2)(x-2)(x^2+4).$$ By Exercise 7.4.14, $\overline{x+2}$ and $\overline{x-2}$ are zero divisors in $\overline{E}$.


This website is supposed to help you study Linear Algebras. Please only read these solutions after thinking about the problems carefully. Do not just copy these solutions.

Leave a Reply

Close Menu