Question

Find the remainder when x3 – a x2 + 6 x – a is divided by x – a​

Answer 1

Answer: 5a

Step-by-step explanation:

Let p(x) = x3 - ax2 + 6x - a

The root of x - a = 0 is a.

p(a) = (a)3 - a(a)2 + 6(a) - a

= a3 - a3 + 5a

= 5a