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Zeros of a Polynomial

If -4 is a ze...

Question

If -4 is a zero of the polynomial $x^{2} - x - (2 k + 2)$ then find the value of k.

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Solution

$x^{2} - x - (2 k + 2)$
$(- 4)^{2} - (- 4) - (2 k + 2) = 0$
$16 + 4 - 2 k - 2 = 0$
$18 - 2 k = 0$
$2 k = 18$
$k = 9$

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