If (x - 2k) is a factor of f (x), which of the following must be true? f (2k) = 0 f (-2k) = 0 A root of f (x) is x = - 2k. Ay intercept of f (x) is x = 2k.

Question

Leonel Manning

Mathematics

4 April, 08:45

If (x - 2k) is a factor of f (x), which of the following must be true? f (2k) = 0 f (-2k) = 0 A root of f (x) is x = - 2k. Ay intercept of f (x) is x = 2k.

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Answers (2)

Know the Answer?

Hudson Shea · Answer 1

A. f (2k) = 0

Aracely Hahn · Answer 2

f (2k) = 0

Step-by-step explanation:

Let's suppose f (x) is such that (x-2k) is one of its factors. We can write it as

f (x) = (x-2k). g (x)

Where g (x) is any other function of x, and g (x) in non-divisible by (x-2k). If we replace x=2k into f, we get

f (2k) = (0). g (2k) = 0

f (2k) = 0