Concept explainers
(a)
To find: The number of terms in the expression.
(a)
Answer to Problem 4E
The number of terms is 3 in the expression.
Explanation of Solution
A polynomial with variable x is an expression of the form,
Where,
- a is a real number.
- n is nonnegative integer.
The monomial
The given expression is,
Thus, the number of terms is 3 in the expression.
(b)
To find: The least common denominator of the terms.
(b)
Answer to Problem 4E
The least common denominator of all the terms is
Explanation of Solution
Given:
The given expression is,
Calculation:
Factor each denominator of given expression and take the product of distinct factors, than the highest power that appears in any of the factors is the least common denominator.
All the denominators of the expression are x,
Thus, the least common denominator of all the terms is
(c)
To find: The sum of given rational fractions.
(c)
Answer to Problem 4E
The sum of given rational fractions is
Explanation of Solution
Given:
The expression is,
Calculation:
Use least common denominator to add the given rational fractions.
Thus, the sum of given rational fractions is
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning