Question

#22
Factorise: factorise 6 X square + 5 x minus 6 ​

Answer 1

Step-by-step explanation:

$6x {}^{2} + 5x - 6 \\6x {}^{2} + 9x - 4x - 6 \\ 3x(2x + 3) - 2(2x + 3) \\ (2x +3)(3x - 2)$

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Answer 2

Step-by-step explanation:

6x² + 5x - 6

= 6x² + (9 - 4) - 6

= 6x² + 9x - 4x - 6

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

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

2x + 3 = 0

2x = - 3

x = - 3/2

or,

3x - 2 = 0

3x = 2

x = 2/3

so,

x = - 3/2 or, 2/3

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