Find the x and y Intercepts r(x)=(x^2+6x-7)/(x^2+2x-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 ${\displaystyle -7}$ and whose sum is ${\displaystyle 6}$.

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 ${\displaystyle x+7}$ equal to ${\displaystyle 0}$.

Subtract ${\displaystyle 7}$ from both sides of the equation.

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

Multiply ${\displaystyle 6}$ by ${\displaystyle 0}$.

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

Subtract ${\displaystyle 7}$ from ${\displaystyle 0}$.

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

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

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

Subtract ${\displaystyle 3}$ from ${\displaystyle 0}$.