Find the x and y Intercepts f(x)=(x^2+5x-6)/(25x^2-16)

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 ${\displaystyle -6}$ and whose sum is ${\displaystyle 5}$.

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

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

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

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

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

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

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

Multiply ${\displaystyle 25}$ by ${\displaystyle 0}$.

Subtract ${\displaystyle 16}$ from ${\displaystyle 0}$.

Factor ${\displaystyle -2}$ out of ${\displaystyle -6}$.

Cancel the common factors.