Question

F(x) = -x² + 7x - 12
One factor of this is (x - 4). Find the other factor.

Answer 1

Answer:

(3-x) is the other factor.

Step-by-step explanation:

The given function is :

$F(x)=-x^{2}+7x-12$

One of the factor is (x-4)

We need to find the other factor.

It can be solved as follows :

$F(x)=-x^{2}+4x+3x-12\\\\=(-x+3)(x-4)$

So, the other factor is (3-x).