Consider the following polynomial that represents the number of test cases needed for a software system as a function of the number of $x$ that represents Lines of Code $($LoC$)$:

$p(x)=x^3-6x^2-16x$

i$.$ Use Excel to generate a set of values for variable $x$ in the interval $-10,+10$ and the corresponding values for $p(x).$

ii$.$ Use Excel to sketch $p(x)$ versus $x.$

iii. Factorize $p(x)$ based on the graph generated in $($ii$).$