To determine : Based on the operations under which the set of rational expression in one variable with real coefficients is closed is similar to the set of whole numbers, the set of integers, or the set of rational numbers.
The set of rational expression in one variable with real coefficients is similar to the set of integers on the basis of the operations under which it is closed.
Given information :
The set of rational expressions in one variable with real coefficients.
Explanation :
The set of rational expressions in one variable with real coefficients will be said to be closed in an operation if the resultant is also a rational expressions in one variable with real coefficients.
Take two rational expressions
The sum will be
The difference will be
The product will be
The quotient will be
Therefore, the set of rational expression in one variable with real coefficients is similar to the set of integers on the basis of the operations under which it is closed.
Chapter 5 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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