Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

The polynomial $p(x)$ is given by $p(x) = 4x^3 + (k + 1)x^2 - mx + 3k$, with $k$ and $m$ as constants.
(main)[3]

Since $(x + 1)$ is a factor of $p(x)$, determine $m$ in terms of $k$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Insert $-1$ into $p(x)$ and set the result equal to zero

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