Question

Find the remainder when $x^3-a{x}^2+6x-a$ is divided by x - a.

Answer 1

$p\left(x\right)=x^3-a{x}^2+6x-a$
When p(x) is divided by x - a, the remainder is p(a).
Substitute x = a in p(x).
$p\left(a\right)=a^3-a^3+6a-a=5a$