Question

How do you divide `(x^2+6x+5) / (x+5)`?

Answer 1

`(x^2 + 6x + 5)/(x+ 5) = x+1`

Explanation:

Here, we can factor the numerator.

`(x^2 + 6x + 5)/(x+ 5) =((x+5)(x+1))/(x+5)`

Now we can cancel `x+5` from numerator and denominator.

`(x^2 + 6x + 5)/(x+ 5) =(cancel((x+5))(x+1))/(cancel(x+5))`

So

`(x^2 + 6x + 5)/(x+ 5) = x+1`