Hey there, Lets solve this problem together.
The First step is to line up the numbers.
<span>We calculate </span>

<span>the result of which is </span>

<span>
</span>
<span>We calculate </span>

<span> the result of which is </span>

<span>.
</span>
Since we get a negative number in the next column, we must take 1 from the next column and carry it over to this column. Now the number will be changed to 10.
We calculate

, and the result is

.
<span>We calculate </span>

<span> the result of which is</span>

<span>.
</span>
Therefore,
Answer:
2 vertical asymptotes occurring at x = 5 and x = -1
Step-by-step explanation:
given

recall that asymptotic occur at the locations that will make the equation undefined. In this case, the asymptote will occur at x-locations which will cause the denominator to become zero (and hence undefined)
Equating the denominator to zero,
(x-5)(x+1) = 0
(x-5) =0
x = 5 (first asymptote)
or (x+1) = 0
x = -1 (2nd asymptote)