If (X + 8) is a factor of f (x), which of the following must be true?

Both x = - 8 and x = 8 are roots of fox).

Neither x = - 8 nor x = 8 is a root of f (x).

f-8) = 0

f (8) = 0

Correct option: Third one

Step-by-step explanation:

Let's analyse each sentence:

"Both x = - 8 and x = 8 are roots of f (x) "

False, we can't affirm that x = 8 is a root of f (x) with the information given.

"Neither x = - 8 nor x = 8 is a root of f (x) "

False, because x = - 8 is a root of f (x), because the factor (x + 8) would be zero, and it is multiplying the rest of the function, so the final value would be zero.

"f (-8) = 0"

True, because x = - 8 is a root, and the factor x + 8 will be zero and will multiply the other factors of f (x)

"f (8) = 0"

False, because x = 8 is not a root of f (x)

So the correct option is the third one