Question

Find the remainder when x2013 is divided by (x+1)³​

Answer 1

Answer:

USING LONG DIVISION METHOD

(x+1)³ = x³+1+3x²+3x

= x³+3x²+3x+1

divided by x,

x) x³+3x²+3x+1 ( x²+3x+3

x³

------------------

3x²+3x+1

3x²

------------------

3x+1

3x

-----------------

1

remainder is 1

OR

USING REMAINDER THEORM

p(x) = (x+1)³

g(x) = x

equate x to 0

x = 0

substitute in p(x)

(0+1)³ = (1)³ = 1

remainder = 1