teandrea3138
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if (x+8) is a factor of f(x), which of the following must be true?
A. both x= -8 are roots of f(x)
B. neither X = -8 nor x equal 8 is a root of f(x)
C. f(-8)=0
D.f(8)=0​

Answer :

Answer:

C

Step-by-step explanation:

Given that (x + 8) is a factor of f(x), then x = - 8 is a root and thus

f(- 8) = 0

If (x+8) is a factor of f(x) then f(-8) =0 is the true statement.

What is factor?

" Factor is defined as an algebraic expression or a number when divided by another algebraic expression or a number without leaving remainder."

According to the question,

Given function = f(x)

Factor of f(x) = (x+ 8)

For example  [tex]f(x) = x^{2} + 12x+32[/tex]

                              [tex]= x^{2}+8x+4x+32 \\\\= (x+8) (x+4)[/tex]

(x+ 8) is a factor of f(x).

[tex]f(-8) = (-8)^{2} -64[/tex]

         [tex]= 64-64\\\\=0[/tex]

Hence, if (x+8) is a factor of f(x) then f(-8) =0 is the true statement.

Learn more about factor here

https://brainly.com/question/24182713

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