Question

Factorise :-

6x²+5x-6​

Answer 1

Answer:

Given:

$6 {x}^{2} + 5x - 6$

Product= -36

Sum=5

Numbers=9,-4

Solution:

$6 {x}^{2} + 5x - 6$

$6 {x}^{2} + 9x - 4x - 6$

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

$3x(2x + 3) - 2(2x + 3)$

$(3x - 2)(2x + 3)$

Hence,

Factorised Form:

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

Answer 2

Step-by-step explanation:

6x²+5x-6

=6x²+9x-4x-6

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

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