A sequence $x(n)$ with the z-transform $X(z)=z^4+z^2-2 z+2-3 z-4$ is applied as an input to a linear, time-invariant system with the impulse response $h(n)=2 \delta(n-3)$ where
$$ \delta(n)= \begin{cases}1, & n=0 \\ 0, & \text { otherwise }\end{cases} $$
The output at $n=4$ is
- $-6$
- zero
- $2$
- $-4$