Concept explainers
To determine: The possible numbers of positive real zeros, negative real zeros and imaginary zeros for the function.
Answer to Problem 33CR
The number of positive real zeros, negative real zeros and imaginary zeros are 1 or 1, 3 or 1 and 0 or 2 respectively.
Explanation of Solution
Given information:
The function:
Calculation:
The given function is
It is seen that the given function has 1 change 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 |
1 | 3 | 0 | 4 |
1 | 1 | 2 | 4 |
Hence, the number of positive real zeros, negative real zeros and imaginary zeros are 1 or 1, 3 or 1 and 0 or 2 respectively.
Chapter 4 Solutions
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
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