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25 December, 15:29

Given f (x) = x^3+2x+k.

and x+1 is a factor of f (x), then what is the value of k?

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Answers (1)
  1. 25 December, 15:50
    0
    k = 3.

    Step-by-step explanation:

    By the Factor Theorem. if x+a is a factor of f (x) then f (-a) = 0.

    Here we use f (-1):

    f (-1) = (-1) ^3 + 2 (-1) + k = 0

    -1 - 2 + k = 0

    k = 3.
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