Question

the remainder when X³ - Px² + 6x - p is divided by x-p

Answer 1

hence the remainder will be 5p

Answer 2

when p(x) is divided we can get reminder by reminder therm.
x-p=0
x=p
p(p)=
$p {3}^{?} - p {p}^{2} + 6p - p$
so this equation will become
p^3-p^3+5p
or 5p.