Question

Factorise
6x² - 13x + 6 (by splitting the middle term)
​

Answer 1

6x ² - 13x + 6

solution

a + b = - 13

ab = 6 × 6 = 36

- 1 , - 36

- 2 , - 18

- 3 , - 12

- 4 , - 9

- 6 , - 6

- 1 - 36 = - 37

- 2 - 18 = - 20

- 3 - 12 = - 15

- 4 - 9 = - 13

- 6 - 6 = - 12

a = - 9

b = - 4

( 6x² - 9x ) + ( - 4x + 6 )

3x ( 2x - 3 ) - 2 ( 2x - 3 )

( 2x - 3 ) ( 3x - 2 )