Concept explainers
To calculate: The complex zeros of the function
Answer to Problem 5CR
Solution:
The complex zeros of
Explanation of Solution
Given information:
The polynomial function
Formula used:
The solution of the
Calculation:
The degree of
By using the Descartes Rule of signs to find the real zeros,
The number of positive real zeros of
The number of negative real zeros of
By using the Rational zeros Theorem to find the potential rational zeros of
The factor of
The factor of
The potential rational zeros are
The above table shows that
As
By using third row in the above table, the depressed equation is
By using the Descartes Rule of signs to find the real zeros,
The number of positive real zeros of
The number of negative real zeros of
By using the Rational zeros Theorem to find the potential rational zeros of
The factor of
The factor of
The potential rational zeros are
The above table shows
Since
By using fourth row in the above table, the depressed equation is
Equating with zero,
Dividing both sides of the above equation by 5 we get,
We write the function
Now, solve the equation
Thus, the complex zeros of
Chapter 13 Solutions
Precalculus
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