Factor the expression below

Given:
The expression is
[tex]2x^2+3x-9[/tex]
To find:
The factors of the given expression.
Solution:
We have,
[tex]2x^2+3x-9[/tex]
Splitting the middle term, we get
[tex]2x^2+(6-3)x-9[/tex]
[tex]2x^2+6x-3x-9[/tex]
[tex]2x(x+3)-3(x+3)[/tex]
[tex](x+3)(2x-3)[/tex]
Therefore, the factors of given expression are (x+3) and (2x-3).