Divide x^2-x-6 by x-3

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 ${\displaystyle -6}$ and whose sum is ${\displaystyle -1}$.

Write the factored form using these integers.

Cancel the common factor.

Divide ${\displaystyle x+2}$ by ${\displaystyle 1}$.