Question

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

Answer 1

(3-x) is the other factor.

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).