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The remainder when $x^{50} + 1$ is divided by $(x + 1)$ is:

Competition practiceAlgebra

A2
B0
C1
D−2

Step-by-Step Solution

By the remainder theorem, substitute

x = - 1 : (- 1)^{50} + 1 = 1 + 1 = 2

, since 50 is even.

Answer: A) 2

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