Use a geometric model to factor x^2-6x+8 by following these steps

Answer: (x-2) (x-4)

Step-by-step explanation: Let's factor x2-6x+8

x2-6x+8

The middle number is - 6 and the last number is 8.

Factoring means we want something like

(x+_) (x+_)

Which numbers go in the blanks?

We need two numbers that ...

Add together to get - 6

Multiply together to get 8

Can you think of the two numbers?

Try - 2 and - 4:

-2+-4 = - 6

-2*-4 = 8

Fill in the blanks in

(x+_) (x+_)

with - 2 and - 4 to get ...

(x-2) (x-4)