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15 July, 14:54

Determine whether - 2 is a zero (root) of the function:

f (x) = 2x^3 + x^2 - 10x - 12

Yes

or

No

0
Answers (2)
  1. 15 July, 15:10
    0
    No

    Step-by-step explanation:

    Using factor theorem

    If the remainder is 0, it is a root

    2 (-2) ³ + x (-2) ² - 10 (-2) - 12

    -4

    Since the remainder is non-zero, it is not a root
  2. 15 July, 15:21
    0
    The answer to your question is No

    Step-by-step explanation:

    Data

    function f (x) = 2x³ + x² - 10x - 12

    To know if a number is a root of a function, evaluate the function on that number, if the result is zero, then that number is a root.

    Substitution

    f (-2) = 2 (-2) ³ + (-2) ² - 10 (-2) - 12

    Simplification

    f (-2) = 2 (-8) + 4 + 20 - 12

    f (-2) = - 16 + 4 + 20 - 12

    f (-2) = - 28 + 24

    f (-2) = - 4

    -2 is not a root that the function.
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