Question

without actual division,find the remainder when x³+3x²+3x+1 is divided by x+1​

Answer 1

Answer:

0

Step-by-step explanation:

Let f (x) = x³ + 3x² + 3x + 1

x + 1 = 0

x = -1

f (-1) = (-1)³ + 3(-1)² + 3(-1) + 1 = 0

      = -1 + 3 -3 + 1 = 0

     remainder = 0

Answer 2

Question :

Find the remainder when x³+3x²+3x+1 is divided by x+1.

Answer :

Put x = -1

$x {}^{3} + 3x {}^{2} + 3x + 1 \\ ( - 1) {}^{3} + 3( - 1) {}^{2 } + 3( - 1) + 1 \\ - 1 + 3 - 3 + 1 \\ = 0$

Remainder is 0 .

Hope this will help you.