Question

find the remainder when x to the power 3 - x to the power 2 + 2 x minus A is divided by x minus A

Answer 1

Question :

find the remainder when x to the power 3 - x to the power 2 + 2 x minus A is divided by x minus A

Answer :

Given polynomial :

x³-x²+2x-a

Divisor :

x-a => x = a

To Find :

The remainder

Solution :


p(x) = x³-x²+2x-a

p(a) = a³-a²+2a-a

a³-a²+a

The required remainder is a³-a²+a .