Question

Find the remainder using remainder theorem, when:

$x^3 - ax^2 - 5 x + 2 a$ is divided by $x - a$

Answer 1

the remainder may be -3a

Answer 2

x-a = 0 , => x=a [using remainder theorem]
p(a) = a^3 - a^3 - 5a + 2a
= -3a