(i)[5]
Determine the values of $a$ and $b$.
(ii)[3]
When $a$ and $b$ take these values, fully factorise $p(x)$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The cubic polynomial $p(x)$ is specified by $p(x) = 6x^3 + ax^2 + bx + 10$, where $a$ and $b$ are constants. It is given that $(x + 2)$ is a factor of $p(x)$ and that, when $p(x)$ is divided by $(x + 1)$, the remainder is $24$.