Find the remainder when x³ - ax² + 6x - a is divided by x - a.

We have x³ - ax² + 6x - a
Apply remainder theorem
x - a = 0
x = a
Put x = a in equation
a³ - a(a)² + 6a - a = a³ - a³ + 6a - a = 6a - a = 5a
Then remainder is 5a