Respuesta :

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).