Answer:
(3-x) is the other factor.
Step-by-step explanation:
The given function is :
[tex]F(x)=-x^{2}+7x-12[/tex]
One of the factor is (x-4)
We need to find the other factor.
It can be solved as follows :
[tex]F(x)=-x^{2}+4x+3x-12\\\\=(-x+3)(x-4)[/tex]
So, the other factor is (3-x).
