Question

(n2+11n+25) ÷ ( n+5) long division

Answer 1

Answer:

$(n^2+11n+25)\div( n+5)=n+6-\frac{5}{n+5}$ or $n+6,R5$

Step-by-step explanation:

Synthetic division:

-5 | 1  11  25

____-5 -30

     1  6 | -5

Therefore, $(n^2+11n+25)\div( n+5)=n+6-\frac{5}{n+5}$ or $n+6,_ R 5$

Long division:

n+5 | n² + 11n + 25

    -   n² + 5n____ <-- n

                6n + 25

    -          6n + 30 <-- 6

                         -5 | n+6

Therefore, $(n^2+11n+25)\div( n+5)=n+6-\frac{5}{n+5}$ or $n+6,_ R 5$