Answer:
The factor form of given expression is (x-4)(x-2i)(x+2i).
Step-by-step explanation:
The given expression is
It can be written as
According to the rational root theorem, all possible rational roots are in the form of
Where, a₀ is constant term and is leading coefficient.
Since the value of f(x) is 0 at x=4, therefore 4 is a root of the function and (x-4) is a factor of given expression.
Use synthetic method to find the remaining factors.
Therefore the factor form of given expression is (x-4)(x-2i)(x+2i).