Question

find the remainder when x3+3x2+3x+1

Answer 1

Deviding x3 + 3x2 + 3x + 1 by x + 1 (divisor)

Step 1 :

Put : Divisor = 0

x + 1 = 0

x = -1

Step 2 :

Let p(x) = x3 + 3x2 + 3x + 1

putting x = -1

p(-1) = (-1)3 + 3(-1)2 + 3(-1) + 1

= -1 + 3 - 3 + 1

= 0

remainder = p(-1) + 0