JAMB 2013 · UTME · Q12

Polynomials & algebraic division

If $x - 4$ is a factor of $x^2 - x - k$ , then $k$ is

Worked solution (try it first)

By the factor theorem, $x - 4$ is a factor, so the expression is 0 at $x = 4$ .
$16 - 4 - k = 0$ , so $k = 12$ , option D.

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