Answer
$d = -9, d = -2$
Work Step by Step
Use either the square root method, the quadratic formula or factoring.
$$
\begin{aligned}
& x^2+11 x+18=0 \\
& x^2+9 x+2 x+18=0 \\
& x(x+9)+2 k x+9)=0 \\
& (x+9)(x+2)=0.
\end{aligned}
$$ This gives: $$
\begin{aligned}
x+9 & =0 \\
x & =-9 \\
x+2 & =0 \\
x & =-2.
\end{aligned}
$$ Define the following function and plot it. We see that the zeros are where they should be.
$$
f(x) =x^2+11 x+18.
$$
