Concept explainers
To write : the polynomial as the product of linear factors and list all the zeros of function
Answer to Problem 61E
The function as product of linear factors:
The zeros of the function are:
Explanation of Solution
Given information:
Concept Involved:
Linear Factorization Theorem: If
Complex Zeros Occur in Conjugate Pairs: Let f be a polynomial function that has real coefficients. If
Calculation:
To find the zeros of the function we need to set the function to zero
Subtract 36 on both sides of the equation
Simplify on both sides of the equation
Take square root on both sides
Simplifying square root on both sides of the equation
Replace
List the zeros of the functions given:
If
So
Write the function
Conclusion:
The zeros of the given function
The function written as product of linear factors will be of the form
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