Question

`(5x-11)/(2x^2+x-6)` You need to work for your points now!

Answer 1

`(5x-11)/(\left(2x-3\right)\left(x+2\right))`

Explanation:

`(5x-11)/(2x^2+x-6)`

Factor the denominator.

`(5x-11)/(\left(2x-3\right)\left(x+2\right))`

The fraction cannot be simplified further.

Answer 2

`(5x - 11)/((x + 2)(2x - 3))`

solution,

`\frac{5x - 11}{2 {x}^(2) + x - 6} \\ = \frac{5x - 11}{2 {x}^(2) + (4 - 3)x - 6} \\ = \frac{5x - 11}{2 {x}^(2) + 4x - 3x - 6 } \\ = (5x - 11)/(2x(x + 2) - 3(x + 2)) \\ = (5x - 11)/((x + 2)(2x - 3))`

Hope this helps..