a) X [ z ]= z−2(2 z−3 ) (2 z+1 )

→p ( z )=z−2q ( z )= (2 z−3 ) (2 z+1 )

C eros: Son los valores de z quehacenque p ( z )=0Po los :Son los valores de z quehacenque q ( z )=0

Ceros p(z)z−2=0→z=2

Polos q(z)

(2 z−3 )=0→2 z=3→z=32

(2 z+1 )=0→2 z=−1→z=−12

b)X [ z ]= (z−2 ) (2 z−3 )

z−1( 1z−1)

=z ( z−2 ) (2 z−3 )

( 1z−1)→

p ( z )=z ( z−2 ) (2 z−3 )q ( z )=( 1z−1)

C eros: Son los valores de z quehacenque p ( z )=0Po los :Son los valores de z quehacenque q ( z )=0

Ceros p(z)

z=0 ; ( z−2 )=0→z=2; (2 z−3 )=0→2 z=3→z=32

Polos q(z)

( 1z−1)=0→ 1z=1→z=1