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Prove that for all real numbers c, if c is a root of a
Chapter 4, Problem 32E(choose chapter or problem)
QUESTION:
Problem 32E
Prove that for all real numbers c, if c is a root of a polynomial with rational coefficients, then c is a root of a polynomial with integer coefficients.
Questions & Answers
QUESTION:
Problem 32E
Prove that for all real numbers c, if c is a root of a polynomial with rational coefficients, then c is a root of a polynomial with integer coefficients.
ANSWER:
Solution
Step 1
In this problem, we have to prove that for all real numbers c, if c is a root of a polynomial with rational coefficients, then c is a root of a polynomial with integer coefficients.