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If $(x - 2)$ is a factor of $x^{3} - 3 x^{2} + k x - 6$ , then the value of $k$ is:

Competition practiceAlgebra

A5
B4
C6
D3

Step-by-Step Solution

By the factor theorem, substitute

x = 2 : 8 - 12 + 2 k - 6 = 0

, so

2 k - 10 = 0

, giving

k = 5

.

Answer: A) 5

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