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20 February, 10:26

3. Solve z2 - 15z + 56 = 0 using the zero product property. A. z = 8, 7 B. z = - 5, - 2 C. z = 8, - 4 D. z = - 4, 7

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  1. 20 February, 11:38
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    We are tasked to solve for the values of z using and applying the zero product property which means that we need to get the factors and equate it to be equal to zero. Such that the given expression z² - 15z + 56 = 0 will have a solution shown below:

    z² - 15z + 56 = 0

    The expression will have a and b values such as a = - 7 and b = - 8.

    z² - 15z + 56 = 0

    (z - 7) (z-8) = 0

    solving for the first value of z, we have it:

    z - 7 = 0

    z = 7

    Solving for the second value of z, we have it:

    z - 8 = 0

    z = 8

    Therefore, the answer to this problem is the letter "A" which is 7 and 8.
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