For what value of k, (-4) is a zero of the polynomial x2 - x - (2k + 2)?

The given equation of polynomial is

p(x) = x² – x – [2k + 2]

p(-4) = [-4]² – [-4] – [2k + 2]

= 16 + 4 – 2k – 2 = 0

= 20 – 2k – 2 = 0

18 – 2k = 0

18 = 2k

k = 18/2

k = 9

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