Question

by remainder theorem, find the remainder when p(x) is divided by g(x(​

Answer 1

Given,

p(x) = x³ -6x² +2x -4

g(x) = 1 - 3x/2

Zeros of p(x) is 2/3

p(2/3) = (2/3)³ -6(2/3)² +2(2/3) -4

= 8/27 -24/9 +4/3 -4

= 8-72+36-108/27

= -136/27

Therefore, R= -136/27