To determine : The set of rational expressions in one variable with real coefficients is closed under the given operation or not.
The set of rational expressions is closed under division.
Given information :
The set of rational expressions in one variable with real coefficients and the operatio division.
Explanation :
A rational expression is the quotient of two polynomials. Let
Divide,
Since the set of polynomials is closed under multiplication. Therefore, the quotient of
Chapter 5 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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