Question

Find the remainder when p(x)= x3-6x2+2x-4 is divided by 1-3/2x

Answer 1

3/2x = 1

3x = 2

x = 2/3

p(2/3) = (2/3)³ - 6(2/3)² + 4/3 - 4

= 8/27 - 12/9  +  4/3 - 4

= 8/27 - 36/27  + 36/27  - 108/27

= -100/27