Question

Find the remainder when 4x^3 - 3x^2 + 4x - 2 is divided by (a)x-1 (b)x-2

Answer 1

(a) +3.... (b)+26

....hope this answer helps :)

as in first factor x-1
therefore, take p(+1)
now,  

p(x)=  4x^3 - 3x^2 + 4x -2
so
p(+1)= 4*1^3  - 3*1^2  + 4*1  - 2
         = 4 - 3 + 4 - 2
         = 8 - 5
         = +3