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28 August, 08:29

Given the factors, name the roots.

3. f (x) = - 3 (2x - 5) (x + 2)

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Answers (1)
  1. 28 August, 08:36
    0
    x = 5/2

    or

    x = - 2

    Step-by-step explanation:

    recall that the roots of a function f (x) are basically the values of x that will make f (x) = 0,

    we find these values of x by making f (x) = 0 and then solving the equation for x,

    in our case,

    f (x) = - 3 (2x - 5) (x + 2)

    to find roots,

    f (x) = 0

    -3 (2x - 5) (x + 2) = 0

    Equating each factor = 0, the equation can be broken down into:

    -3 = 0 (obviously not valid, hence we can ignore this)

    or

    (2x - 5) = 0 add 5 to both sides

    2x = 5 divide both sides by 2

    x = 5/2 (Answer)

    or

    (x + 2) = 0 subtract 2 from both sides

    x = - 2 (Answer)
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