Since the transfer function is a ratio of polynomials, working with transfer functions means that both numerator polynomial and denominator polynomial must be studied.

Consider the two polynomials $p(s)=s^2+7s+10$ and $q(s)=s+2,$ write and run $m-$scripts for the followings:

$($a$)$ get the transfer function of $p(s)q(s)$;

$($b$)$ find the poles and zeros of $G(s)=q\frac{s}{p}(s)$;

$($c$)$ compute the value of $p(-1).$