Concept explainers
To Explain: Why one of the remaining zeroes must be the real number, find the missing zero?
Answer to Problem 44AYU
Explanation of Solution
Given:
Using the Conjugate pair theorem
i.e.
Now we have three zeroes
Since the degree of the function is
It can have at most
Now
If the last zero is a complex number then its conjugate is also a zero that would make the polynomial of degree
But
Here the degree of the polynomial is
Thus
The last zero must be real.
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