Question

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

GOF
Both x = 8 and x = 8 are roots of f(x).
Neither x = -8 nor x = 8 is a root of f(x).
F-8) = 0
f(8) = 0

Answer 1

F-8)= 0 hope this helps!!!!!

Explanation:

Answer 2

• f(-8) = 0

Explanation:

If (x+8) is a factor of f(x), then for some expression p, we have ...

f(x) = (x+8)p

Evaluated at x=-8, this gives ...

f(-8) = (-8+8)p = 0p

f(-8) = 0 . . . . must be true

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Similarly, f(8) = (8+8)p = 16p. This may or may not be zero, depending on the factors of p. The only offered statement that must be true is the one shown above.