Maths help? Factorizing?

6x^2 + x - 2
= 6x^2 + 4x - 3x - 2
= (6x^2 + 4x) - (3x + 2)
= 2x(3x + 2) - 1(3x + 2)
= (3x + 2)(2x - 1)

6 x ² + x - 2

Trial and Error :-

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

( 3x------2 ) ( 2 x ------1 )

( 3 x + 2 ) ( 2 x - 1 )

6x^2 + x - 2

Okay firstly you look at the final constant, - 2, and find values which multiply to give this. E.g. -2 and 1.

Then look at the constant in front of the x term, which is a 1.

Finally look at the combinations you can get 6x^2 from x terms e.g. 3x and 3x.

Then put it all together to get:
(3x - 2)(3x + 1)
the -2 and the +1 multiply to get -2, and the other terms make the required 1x.

factors: (3x+2)(2x-1)