Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

The polynomial $2x^3 + ax^2 - ax - 12$, with $a$ as a constant, is represented by $p(x)$.
(i)[2]

You are told that $(x + 1)$ is a factor of $p(x)$. Find the value of $a$.

(ii)[2]

When $a$ takes this value, find the remainder when $p(x)$ is divided by $(x + 3)$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Set $x=-1$ and make the expression equal to zero

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