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21 November, 11:34

Which of the following options is a root of the function? f (x) = (3x + 5) (x2 - 6x + 9) 2

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  1. 21 November, 14:06
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    The roots of the function are x = - 5/3 and 3. Select these.

    Step-by-step explanation:

    The roots of the function are the solutions to the function. They are also called the x-intercepts or zeros. To find them, factor the function completely and solve using the zero product property.

    f (x) = (3x+5) (x2-6x+9) 2 becomes f (x) = (3x+5) (x-3) ^2

    Set each factor equal to 0 and solve for x.

    (3x+5) = 0

    3x = - 5

    x = - 5/3

    (x-3) ^2 = 0

    x - 3=0

    x = 3
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