Question

(n2+11n+25) ÷ ( n+5) long division

Answer 1

`(n^2+11n+25)/( n+5)=n+6-(5)/(n+5)` or
`n+6,R5`

Explanation:

Synthetic division:

-5 | 1 11 25

____-5 -30

1 6 | -5

Therefore,
`(n^2+11n+25)/( n+5)=n+6-(5)/(n+5)` or
`n+6,_$R$5`

Long division:

n+5 | n² + 11n + 25

- n² + 5n____ <-- n

6n + 25

- 6n + 30 <-- 6

-5 | n+6

Therefore,
`(n^2+11n+25)/( n+5)=n+6-(5)/(n+5)` or
`n+6,_$R$5`