Question

factorise

$i) \: 6x ^{2} + 5x - 6$

Answer 1

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

Answer 2

Answer :

Now, 6x² + 5x - 6

= 6x² + (9 - 4)x - 6

= 6x² + 9x - 4x - 6

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

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

which is the required factorization.

How to factorize using Middle term method.

In this problem, we see that '6' is both the 1st and last term for the quadratic equation.

Now, 6 × 6 = 36

We need to make sure that we get a '(5)' in solving step.

We know that,

36 = 4 × 9

And (9 - 4) = 5

Thus, we solve the problem in this method.