Find the x and y Intercepts r(x)=(x^2+8x-9)/(x^2+3x-4)

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 ${\displaystyle -9}$ and whose sum is ${\displaystyle 8}$.

Write the factored form using these integers.

Set ${\displaystyle x-1}$ equal to ${\displaystyle 0}$.

Add ${\displaystyle 1}$ to both sides of the equation.

Set ${\displaystyle x+9}$ equal to ${\displaystyle 0}$.

Subtract ${\displaystyle 9}$ from both sides of the equation.

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

Multiply ${\displaystyle 8}$ by ${\displaystyle 0}$.

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

Subtract ${\displaystyle 9}$ from ${\displaystyle 0}$.

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

Multiply ${\displaystyle 3}$ by ${\displaystyle 0}$.

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

Subtract ${\displaystyle 4}$ from ${\displaystyle 0}$.