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(Rational Root Theorem) and an 0. Prove that if r and s
Chapter 17, Problem 27E(choose chapter or problem)
QUESTION:
Problem 27E
(Rational Root Theorem)
and an ≠ 0. Prove that if r and s are relatively prime integers and f (r/s) = 0, then r | a0 and s | an.
Questions & Answers
QUESTION:
Problem 27E
(Rational Root Theorem)
and an ≠ 0. Prove that if r and s are relatively prime integers and f (r/s) = 0, then r | a0 and s | an.
ANSWER:
Step 1 of 3
Given be an element of such that . Now consider two integers and with such that . We will propose to prove that and . Now notice that, since we have
Now notice that