To find: The given rational expression is proper or improper. If improper, to rewrite it as the sum of a polynomial and a proper rational expression.
Answer to Problem 6AYU
Solution:
The rational expression is proper.
Explanation of Solution
Given:
.
Calculation:
By definition, a rational expression is called proper if the degree of polynomial in the numerator is less than the degree of polynomial in the denominator.
Here the degree of the polynomial in the numerator is 1 and the degree of the polynomial is 3 in the denominator.
Therefore, the given rational expression is proper.
Chapter 11 Solutions
Precalculus
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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