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12 January, 02:52

Factor and apply the zero product property to each quadratic expressions to find the zeros of the function it defines. (show work)

1. x^2 - x - 12

2. x^2 + x - 12

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Answers (1)
  1. 12 January, 03:30
    0
    In the first equation x=4 or x=-3

    In the second equation x=-4 or x=3

    Explanation:

    The first equation x^2 - x - 12 can be factorized as follows:

    x^2-4x+3x-12

    x (x-4) + 3 (x-4)

    x-4=0 or x+3=0

    x=4 or x=-3

    It is noteworthy that - x was rewritten as - 4x+3x in order to solve the equation

    The second equation x^2 + x - 12 can be factorized as below:

    x^2+4x-3x-12

    x (x+4) - 3 (x+4)

    x+4=0 or x-3=0

    x=-4 or x=3

    It is noteworthy that + x was rewritten as 4x-3x in order to solve the equation
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