Concept explainers
To Find: Thebinomial factors of each polynomial.
Answer to Problem 32E
The factor of the polynomial is
Explanation of Solution
Given:
The given polynomial is
Calculation:
Consider the function by synthetic division is shown in Table 1
Table 1
-2 | -4 | 8 | ||
-3 | 1 | -5 | 11 | -25 |
-2 | 1 | -4 | 4 | 0 |
-1 | 1 | -3 | -1 | 9 |
0 | 1 | -2 | -4 | 8 |
1 | 1 | -1 | -5 | 3 |
2 | 1 | 0 | -4 | 0 |
3 | 1 | 1 | -1 | 5 |
The above table shows that
Then, test some values by the help of the factor theorem as,
Also,
Thus, the factor is
Then, find the depressed polynomial as,
Thus, the value of the depressed polynomial is
Then, factor the depressed polynomial as,
This shows that the factor of the polynomial is
Chapter 4 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (3rd Edition)
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning