Given polynomial is $p(x)=5 x-8$

Its corresponding polynomial equation is $5 x-8=0$

It gives $5 x=8,$ i.e., $x=\frac{8}{5}$

$\therefore x=\frac{8}{5}$ is a zero of the polynomial.

Thus, $\frac{8}{5}$ is the zero of the polynomial

$p(x)=5 x-8$