Find the remainder when
`x^(3)-ax^(2)+6x-a` is divided by x - a

Explanation

`" Let "p(x) =x^(3)-ax^(2)+6x-a`
`p(a) =a^(3)-a(a)^(2)+6(a) -a`
`=a^(3)-a^(3)+6a-a=5a`
So, by the Remainder theorem, remainder =5a