Find the x and y Intercepts y=(x^2+11x+18)/(2x+1)

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 ${\displaystyle 18}$ and whose sum is ${\displaystyle 11}$.

Write the factored form using these integers.

Set ${\displaystyle x+2}$ equal to ${\displaystyle 0}$.

Subtract ${\displaystyle 2}$ from 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 ${\displaystyle 11}$ by ${\displaystyle 0}$.

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

Add ${\displaystyle 0}$ and ${\displaystyle 18}$.

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

Add ${\displaystyle 0}$ and ${\displaystyle 1}$.