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What is the remainder when $x^{3} + 2 x^{2} - 5 x + 1$ is divided by $(x - 1)$ ?

Competition practiceAlgebra

A−1
B1
C7
D−3

Step-by-Step Solution

By the remainder theorem the remainder is f(1) = 1 + 2 − 5 + 1 = −1. (7 is f(−1), the wrong sign.)

Answer: A) −1

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