If (x + k) is a factor of f(x), which of the following must be true?

Complete Question:

If (x + k) is a factor of f(x), which of the following must be true?

Correct

If (x + k) is a factor of f(x), f(-k)=0 must be true

option B

Step-by-step explanation:

We have , (x + k) is a factor of f(x) . For this case we have a function of the form: . Thus,

x: independent variable

f (x): dependent variable

Since (x + k) is a factor of f (x) then it follows that:

For we have:

⇒

From here, we clear the value of x:

⇒

Then, replacing this value of x in the function, we have:

⇒

Therefore , Correct option B) f (-k) = 0.

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