Question

How do you divide `(5x^2+7x-6)` by `x+2`?

Answer 1

`(5x^2+7x-6) div (x+2) = (5x-3)`
This answer can be obtained either by factoring or by synthetic division.

Explanation:

By Factoring
Recognize `(5x^2+7x-6) = (5x-3)(x+2)`
Therefore
`color(white)("XXXX")` `(5x^2+7x-6)/(x+2)`

`color(white)("XXXX")` `= ((5x-3)cancel((x+2)))/cancel((x+2))`

`color(white)("XXXX")` `= 5x-3`
Note, however, there is a requirement that `x!= -2`

By Synthetic Division (handy if you don't easily recognize the factoring)