Factorise fully x^2-3x+2

(x-1) (x-2)

Step-by-step explanation:

The middle number is - 3 and the last number is 2.

Factoring means we want something like

(x+_) (x+_)

Which numbers go in the blanks?

We need two numbers that ...

Add together to get - 3

Multiply together to get 2

Can you think of the two numbers?

Try - 1 and - 2:

-1+-2 = - 3

-1*-2 = 2

Fill in the blanks in

(x+_) (x+_)

with - 1 and - 2 to get ...

(x-1) (x-2)