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Question:
for what value of k,[-4]is a zero of the polynomial xsquare-x-[2k 2]
Answer:

Given, -4 is a zero of the polynomial x2 - x - (2k + 2)

So, put x = -4 in the polynomial, we get

      (-4)2 - (-4) - (2k + 2) = 0

=> 16 + 4 - 2k - 2 = 0

=> 20 - 2k - 2 = 0

=> 18 - 2k = 0

=> 2k = 18

=> k = 18/2

=> k = 9

So, the value of k is 9

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