Answer:
The factored form of the given expression is (z-6)(z+3).
Step-by-step explanation:
The given expression is
[tex]z^2-3z-18[/tex]
The middle term can by written a -6z+3z.
[tex]z^2-6z+3z-18[/tex]
[tex]z(z-6)+3(z-6)[/tex]
[tex](z-6)(z+3)[/tex]
Therefore the factored form of the given expression is (z-6)(z+3).