Question

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

Answer 1

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)