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Concept explainers
To determine: The possible numbers of positive real zeros, negative real zeros and imaginary zeros for the function.
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Answer to Problem 32CR
The number of positive real zeros, negative real zeros and imaginary zeros are 2 or 0, 0 or 0 and 0 or 4 respectively.
Explanation of Solution
Given information:
The function:
Calculation:
The given function is
It is seen that the given function has 2 changes of sign.
This means the function
Also, the given function can be written for negative values of x as:
It is seen that the above function has 0 changes of sign.
This means the function
The number of positive real zeros, negative real zeros and imaginary zeros is shown in a table below:
Positive real zeros | Negative real zeros | Imaginary zeros | Total zeros |
2 | 0 | 2 | 4 |
0 | 0 | 4 | 4 |
Hence, the number of positive real zeros, negative real zeros and imaginary zeros are 2 or 0, 0 or 0 and 0 or 4 respectively.
Chapter 4 Solutions
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
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