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Answer:
x = 2i, x = -2i and x = 4 are the roots of given polynomial.
Step-by-step explanation:
We are given the following expression in the question:
One of the zeroes of the above polynomial is 2i, that is :
Thus, we can write
Now, we check if -2i is a root of the given polynomial:
Thus, we can write
Therefore,
Dividing the given polynomial:
Thus,
X = 4 is a root of the given polynomial.
Thus, 2i, -2i and 4 are the roots of given polynomial.