For what value of k is (x − 2) a factor of x² − kx + 2?

3. By the Factor Theorem, p(2) = 0 → (2)² − k(2) + 2 = 0 → 4 − 2k + 2 = 0 → 6 = 2k → k = 3.

For what value of $k$ is $(x - 2)$ a factor of $x^{2} - k x + 2$ ?

Competition practiceAlgebra

By the Factor Theorem,

p (2) = 0

→

(2)^{2} - k (2) + 2 = 0

→

4 - 2 k + 2 = 0

→

6 = 2 k

→

k = 3

Answer: A) 3

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