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13 October, 08:35

Fill in the box with any number that will create a quadratic function with zeros at - 1 and 3.

3x^2 - __x-9

+1
Answers (1)
  1. 13 October, 12:31
    0
    3x^2 - 6x - 9

    Step-by-step explanation:

    In order to make the function have zeros at - 1 and 3 it needs to factor into:

    To make that:

    3x^2 - 6x - 9

    (3x - 9) (x + 1)

    To check:

    3x - 9 + 9 / 3 = 0 + 9 / 3

    x = 3

    x + 1 - 1 = 0 - 1

    x = - 1

    So, it is correct.

    Answer: 3x^2 - 6x - 9
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