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If $(x - 2)$ is a factor of the polynomial $x^{3} - 3 x^{2} + k x - 8$ , find the value of $k$ .

Competition practiceAlgebra

A6
B4
C-6
D8

Step-by-Step Solution

By the factor theorem, substitute

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

, so

2 k - 12 = 0

, giving

k = 6

.

Answer: A) 6

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