JAMB 2014 · UTME · Q14

Polynomials & algebraic division

Find the value of $k$ if $y - 1$ is a factor of $y^3 + 4y^2 + ky - 6$ .

Worked solution (try it first)

By the factor theorem, $y - 1$ is a factor, so the expression is 0 at $y = 1$ .
$1 + 4 + k - 6 = 0$ , so $k - 1 = 0$ and $k = 1$ , option D.

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