Find the x and y Intercepts (x^2+2x-24)/(x-6)

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 ${\displaystyle -24}$ and whose sum is ${\displaystyle 2}$.

Write the factored form using these integers.

Set ${\displaystyle x-4}$ equal to ${\displaystyle 0}$.

Add ${\displaystyle 4}$ to both sides of the equation.

Set ${\displaystyle x+6}$ equal to ${\displaystyle 0}$.

Subtract ${\displaystyle 6}$ from both sides of the equation.

Raising ${\displaystyle 0}$ to any positive power yields ${\displaystyle 0}$.

Multiply ${\displaystyle 2}$ by ${\displaystyle 0}$.

Add ${\displaystyle 0}$ and ${\displaystyle 0}$.

Subtract ${\displaystyle 24}$ from ${\displaystyle 0}$.

Subtract ${\displaystyle 6}$ from ${\displaystyle 0}$.

Divide ${\displaystyle -24}$ by ${\displaystyle -6}$.