(i)[2]
Since $(x - 2)$ is a factor of $p(x)$, determine the value of $a$.
(ii(a))[3]
With this value of $a$, factorise $p(x)$ fully.
(ii(b))[2]
Determine the remainder when $p(x)$ is divided by $(x + 1)$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The polynomial $p(x)$ is specified as $p(x) = ax^3 - 3x^2 - 5x + a + 4$, where $a$ is constant.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Put in $2$ and make the result zero, or divide and make the remainder zero” …
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