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

a) 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

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:

From here, we clear the value of x:

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

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

the following must be true:

C)

y = 4 + 2x

Step-by-step explanation:

Given,

The number of apples eaten by monkey everyday = 4,

Also, it eats two bananas for every banana that Tommy eats.,

I.e. if x represents the number of bananas Tommy eats,

The number of bananas eaten by monkey = 2x

So, the total number of fruits eaten by monkey = 4 + 2x

If y represents the total number of pieces of fruit the monkey eats,

⇒ y = 4 + 2x

Which is the required equation.