The quadratic polynomial has as one of its zeros

MATHEMATICS · Subjective · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

The quadratic polynomial

p(x) = kx^{2} + 2(k-1)x - 8

has

x = 2

as one of its zeros. Determine the value(s) of

k

that satisfy this condition.