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The remainder when $x^{3} + 3 x^{2} + 3 x + 1$ is divided by $(x + 1)$ is:

Competition practiceAlgebra

A0
B1
C8
D2

Step-by-Step Solution

By the Remainder Theorem, remainder =

p (- 1) = (- 1)^{3} + 3 (- 1)^{2} + 3 (- 1) + 1 = - 1 + 3 - 3 + 1 = 0

.

Answer: A) 0

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