Answer :
If (x + 8) is a factor of f(x), then the true statement is f(-8) = 0 .
In the question ,
it is given that , x [tex]+[/tex] 8 is factor of f(x) ,
we have to select the correct option about f(x) from the given options .
When solving the polynomials, a factor of the polynomial gives the solution of the polynomial.
that means , x + 8 = 0
So , x = -8 ,
So , it means that when x = -8 , then the value of the function f(-8) will be zero ,
which means that x = -8 will be a root of the given function f(x) .
Therefore , the true statement is f(-8) = 0 .
The given question is incomplete , the complete question is
If (x + 8) is a factor of f(x), which of the following must be true ?
(a) Both x = –8 and x = 8 are roots of f(x).
(b) Neither x = –8 nor x = 8 is a root of f(x).
(c) f(–8) = 0
(d) f(8) = 0
Learn more about Factors here
https://brainly.com/question/19070582
#SPJ4