Concept explainers
To find : the rational zeros of the given function
Answer to Problem 96E
The rational zeros of the function are:
Explanation of Solution
Given information:
Concept Involved:
The zeros of the polynomial are the values of x where the graph cuts the x-axis and makes
Synthetic Division (for a Cubic Polynomial):To divide
In case when we have a polynomial with a missing term, insert placeholders with zero coefficients for missing powers of the variable. Vertical pattern: Add terms in columns Diagonal pattern: Multiply results by k. This algorithm for synthetic division works only for divisors of the form x - k. Remember that |
The Division Algorithm: If
Graph:
Interpretation:
From the graph of the function we can pick possible zeros of the function as
Possible zero | Synthetic division | Is it a zero of polynomial? |
Yes | ||
Yes | ||
Yes |
Conclusion:
The rational zeros of the function 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