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.
