Concept explainers
To show:
division factor the polynomial completely.
Answer to Problem 65E
Solutions:
Explanation of Solution
Concept Used:
Factor theorem:
"For a polynomial
Calculation:
First, find the remainder obtained on dividing
Now the given polynomial can be written as:
Perform synthetic division,
Since, the remainder obtained is 0.
So,
Since
Also, from the above division, the quotient obtained on division is
So, the polynomial can be factored as shown below:
Now, find the zeros of the polynomial equation
Using above factorization,
It is known that if
This gives that,
Therefore, the zeros of given polynomial equation are:
Chapter 2 Solutions
EBK PRECALCULUS W/LIMITS
- 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