Respuesta :

Given:

[tex]f(z)=(z-7)(z+5)[/tex]

Multiply of two number is positive that mean both number is positive or both number is negative so:

For both positive :

[tex]z>7[/tex]

For both negative :

[tex]z<-5[/tex]

For function is positive

[tex]\begin{gathered} (-\infty,-5)\cup(7,\infty) \\ or \\ -5>z>7 \end{gathered}[/tex]

(B)

for function negative:

One factor is positive and another factor is negative:

[tex]-5