Question

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

Answer 1

C

Explanation:

edge

Answer 2

Correct option: Third one

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