(a)[5]
Determine the values of $a$ and $b$.
(b)[3]
Hence factorise $p(x)$ completely.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The polynomial $p(x)$ is given by $p(x) = ax^3 + bx - 10$, where $a$ and $b$ are constants. It is stated that $(x + 2)$ is a factor of $p(x)$ and that the remainder when $p(x)$ is divided by $(x + 3)$ is $-55$.