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

Ax = –8 and x = 8 are roots of f(x).
BNeither x = –8 nor x = 8 is a root of f(x).
Cf(–8) = 0
Df(8) = 0

Verified Answer :

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.

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) \(f (-8) = 0\)