Concept explainers
To find:the rational and irrational zeros of the polynomial.
Answer to Problem 82E
the zeros of the polynomial is
Explanation of Solution
Given information:
the polynomial is
concept used:
rational zero theorem,
Calculation:
By seeing the polynomial it is observed that 0 will be the zero of this polynomial.
Factors :
The constant term is
The factors of
Thus, the possible rational zeros of
the possible zeros of
Using synthetic division,
-1 | 6 | -7 | -8 | 5 | 0 |
-6 | 13 | -5 | 0 | ||
6 | -13 | 5 | 0 | 0 |
| 6 | -7 | -8 | 5 | 0 |
3 | -2 | -5 | 0 | ||
6 | -4 | -10 | 0 | 0 |
| 6 | -7 | -8 | 5 | 0 |
10 | 5 | -5 | 0 | ||
6 | 3 | -3 | 0 | 0 |
The zeros of the polynomial is
Chapter 3 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