The correct factorization is (3x - 2)(2x + 5).
In order to find this, we first have to set up parenthesis with the front being factors of 6x^2.
(3x ____)(2x _____)
Now we are going to try the factors of the last numbers in the end of these parenthesis. We can try these in different orders and then multiply to determine if we have the correct order. If for some reason we try them all and do not get the appropriate equation, we can try 6x and x as factors instead. However, we'll try -2 and 5 to see the correct result.
(3x - 2)(2x + 5)
6x^2 -4x + 15x - 10
6x^2 + 11x - 10 ---> this is the original. And therefore, it is the right factorization.
