Question

(d) Factorise:-
- 6x² + 10x + 24 ​

Answer 1

- 6x² + 10x + 24

Changing the symbols

• 6x² - 10x - 24 = 0

6x² - 18x + 8x - 24 = 0

6x ( x - 3 ) 8 ( x - 3 ) = 0

( x - 3 ) ( 6x + 8 ) = 0

x = 3

or

x = - 8/6 ➡ - 4/3

So , the value of x is 3 or - 4/3

Answer 2

Answer:

2(3x + 4) (x - 3)

Explanation:

- 6x² + 10x + 24

= 2(3x²) - 10x - 24

= 2(3x²) + 2(-5x) - 24

= 2(3x²) + 2(-5x) + 2(-12)

= 2(3x² - 5x) + 2(-12)

= 2(3x² - 5x - 12

= 2((3x + 4) (x - 3))

= 2(3x + 4) (x - 3)