Question

6x2+5x-6 by 3x-2 first factorise numerator then divide by 3x-2

Answer 1

On factorizing $6x^{2}+5x-6$, we get:

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

Now dividing this by $3x-2$ leaves us with:

$2x+3$

That's your answer

Answer 2

6x^2 +5x - 6

=> 6x^2 + 9x -4x - 6

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

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


Then after dividing by 3x-2 , the Quotient will be 2x+3