Question

Using remainder theorem,find the value of k so that x 3 - 2k +kleaves the remainder 3 when divided by x+1

Answer 1

P(x) = x³ - 2 k x + k  
 remainder = 3, when divided by x+1..

P(-1) = 3 = (-1)³ - 2 k (-1) + k
  => 3 k = 4
  => k = 4/3