Question

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

Answer 1

The answer to the question letter "C. f(-8) = 0". The factor x + 8 gives the value of x = -8. This means that neither A nor B is the answer to the question. Substituting also -8 to the value of x can give an answer of f(x) or f(-8) equal to zero.

Answer 2

Since (x + 8) is a factor of f (x) then the following equation is fulfilled when f (x) = 0:

$x + 8 = 0$

From here, we clear the value of x:

$x = -8$

Then, when evaluating the function for x = -8 it is fulfilled that:

$f (-8) = 0$

Therefore, x = -8 is a root of the function f (x).

Answer:

the following must be true:

C) $f (-8) = 0$