Find the x and y Intercepts f(x)=(x^2+5x+4)/(2x^2-2)

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 ${\displaystyle 4}$ and whose sum is ${\displaystyle 5}$.

Write the factored form using these integers.

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

Subtract ${\displaystyle 1}$ from both sides of the equation.

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

Subtract ${\displaystyle 4}$ from both sides of the equation.

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

Multiply ${\displaystyle 5}$ by ${\displaystyle 0}$.

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

Add ${\displaystyle 0}$ and ${\displaystyle 4}$.

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

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

Subtract ${\displaystyle 2}$ from ${\displaystyle 0}$.