The function is .
Find all zeros of the function by equating g(x) to 0.
\g(x) = 0
\
By factoring by grouping.
\
(The imaginary unit
)
Apply zero product property.
\
.
All zeros of the polynomial are .
The linear factors of the polynomial are
So, the polynomial can be written as:
.
This is the product of linear factors of the polynomial.
The zeros of the polynomial are and
The product of linear factors of the polynomial .