(i)[5]
Find the values of $a$ and $b$ from the information given.
(ii)[3]
After substituting these values for $a$ and $b$, factorise $p(x)$ completely.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The polynomial $ax^3 - 5x^2 + bx + 9$, with $a$ and $b$ as constants, is written as $p(x)$. You are told that $(2x + 3)$ is a factor of $p(x)$, and that the remainder when $p(x)$ is divided by $(x + 1)$ is $8$.