Simplify (x^2-2x-35)÷(x+5)

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 ${\displaystyle -35}$ and whose sum is ${\displaystyle -2}$.

Write the factored form using these integers.

Cancel the common factor.

Divide ${\displaystyle x-7}$ by ${\displaystyle 1}$.