Polynomial9

Find all rational solutions of an monic polynomial with integer coefficients
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 2 Exercises 2.8
Determine if a real number is rational using roots of polynomial V
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 2 Exercises 2.5
Determine if a real number is rational using roots of polynomial IV
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 2 Exercises 2.4
Determine if a real number is rational using roots of polynomial III
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 2 Exercises 2.3
Determine if these real numbers are rational II
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 2 Exercises 2.1 &...
Determine if these real numbers are rational I
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 2 Exercises 2.1 &...
Characterization of zero divisors in a polynomial ring
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 7.2 Exercise 7.2.2 Let $R$ be...
Exhibit an action of Sym(4) on a set of polynomials
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 2.2 Exercise 2.2.13 Let $n$ b...
Sym(4) acts on a set of polynomials by permuting the variables
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 2.2 Exercise 2.2.12 Let $R$ b...