Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

The polynomial $p(x)$ is given by $p(x) = 4x^3 + (k + 1)x^2 - mx + 3k$, where $k$ and $m$ are constants.

(main)[3]

If $(x + 1)$ 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 it equal to zero” …