If $(x - 2)$ is a factor of $f(x) = x^3 + kx^2 - 4x + 4$, find the value of $k$.
A-2
B1
C-1CORRECT
D2
GCEFurther MathematicsPolynomials and Partial Fractions2022
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Why the answer is C, and why the others tempt you.
Since (x - 2) is a factor, f(2) = 0. So 8 + 4k - 8 + 4 = 0, giving 4k + 4 = 0, hence k = -1. Substituting back confirms f(2) = 8 - 4 - 8 + 4 = 0.
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