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Given, (-4) is a zero of the polynomial x2 - x - (2k + 2)
So, (-4)2 - (-4) - (2k + 2) = 0
=> 16 + 4 - 3k - 2 = 0
=> 18 - 3k = 0
=> 3k = 18
=> k = 18/3
=> k = 6
So, the value of k is 6