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Answer:
The zeros of the polynomial function are 1, -3, 3+i and 3-i.
Step-by-step explanation:
The given function is
We can find a zero of the given function by hit and trial method.
Substitute x=1 in the given function.
The value of function is 0 at x=1 it means (x-1) is a factor of given function.
Substitute x=-3 in the given function.
The value of function is 0 at x=-3 it means (x+3) is a factor of given function.
Divide the given function by , to get remaining factors.
So, the factor form of given function is
Quadratic formula: If a quadratic equation is , then
Using quadratic formula find the zeroes of .
Therefore the zeros of the polynomial function are 1, -3, 3+i and 3-i.