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15 March, 18:01

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

Both x = - 8 and x = 8 are roots of fox).

Neither x = - 8 nor x = 8 is a root of f (x).

f-8) = 0

f (8) = 0

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Answers (1)
  1. 15 March, 18:22
    0
    Correct option: Third one

    Step-by-step explanation:

    Let's analyse each sentence:

    "Both x = - 8 and x = 8 are roots of f (x) "

    False, we can't affirm that x = 8 is a root of f (x) with the information given.

    "Neither x = - 8 nor x = 8 is a root of f (x) "

    False, because x = - 8 is a root of f (x), because the factor (x + 8) would be zero, and it is multiplying the rest of the function, so the final value would be zero.

    "f (-8) = 0"

    True, because x = - 8 is a root, and the factor x + 8 will be zero and will multiply the other factors of f (x)

    "f (8) = 0"

    False, because x = 8 is not a root of f (x)

    So the correct option is the third one
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