(i)[5]
Find the values of $a$ and $b$ using the information provided.
(ii)[3]
With these values of $a$ and $b$, factorise $p(x)$ fully.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The cubic polynomial $p(x)$ is given by $p(x) = 6x^3 + ax^2 + bx + 10$, with $a$ and $b$ as constants. It is also stated that $(x + 2)$ is a factor of $p(x)$ and that, on division of $p(x)$ by $(x + 1)$, the remainder equals 24.