Question

How do you find the remainder when x 3 + 3 x 2 + 3 x + 1 is divided by 5+2x

Answer 1

Apply remainder theorem
=>x + 1 =0
=> x = - 1
Replace x by – 1 we get
=>x3+3x2 + 3x + 1
=>(-1)3 + 3(-1)2 + 3(-1) + 1
=> -1 + 3 - 3 + 1
=> 0
Remainder is 0