Factorise x^2 - 7x + 12

(x-3) (x-4)

Step-by-step explanation:

x² - 7x + 12

= x² - 3x - 4x + 12

=x (x-3) - 4 (x-3)

= (x-3) (x-4)

= (x-4) (x-3)

Step-by-step explanation:

Firstly, put the pronumeral in the brackets [ (x) (x) ].

Then, place the signs in the right positions, the sign of the constant number (12) is a positive (+), therefore the two signs must be the same. The sign of the - 7x is negative (-). Place these in the brackets [ (x-) (x-) ].

Next, think of the factors of 12 that add up to 7 { (3 and 4) 3x4 is 12 and 3+4 is 7}. [ (x-4) (x-3) ].

Have a nice day! : -)

KA