is divided by (x-a)

Let, f(x) = x³ - ax² + 2x - a

Now,

As per the question,

x - a = 0

x = a

Using Remainder theorem,

We know that when f(x)is divided by (x – a), the remainder so obtained will be f(a).

Hence,

f(a) = a³ – a(a)² + 2(a) – a

= a³ – a³ + 2a – a

= 2a - a

= a

Therefore,

The required remainder is a.