Question

find the remainder when x^3 -ax^2 +3x -1 by (x-a)​

Answer 1

Answer:

Let p(x)=x

3

+ax

2

−3x+a

When p(x) is divided by (x+a) the remainder is p(-a).

p(−a)=(−a)

3

+a(−a)

2

−3(−a)+a=−a

3

+a

3

+4a=4a

∴ The remainder is 4a.