Let y[n] = x[n] ∗ h[n], where ∗ denotes convolution and x[n] and h[n] are two discrete time sequences. Given that the z-transform of y[n] is Y(z) = 2 + 3z-1 + z-2, the z-transform of p[n] = x[n] ∗ h[n − 2] is
1
2 + 3z + z−2
2
3z + z−2
3
2z2 + 3z + 1
4
2z−2 + 3z−3 + z−4