Divide (n^2+6n+5)/(n+1)

Consider the form ${\displaystyle x^2+bx+c}$. Find a pair of integers whose product is ${\displaystyle c}$ and whose sum is ${\displaystyle b}$. In this case, whose product is ${\displaystyle 5}$ and whose sum is ${\displaystyle 6}$.

Write the factored form using these integers.

Cancel the common factor.

Divide ${\displaystyle n+5}$ by ${\displaystyle 1}$.