(i)[3]
Determine the value of $a$.
(ii)[3]
For this value of $a$, prove that $(x - 1)$ is a factor of $p(x)$ and determine the quotient when $p(x)$ is divided by $(x - 1)$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The polynomial $x^3 + 4x^2 + ax + 2$, with $a$ a constant, is written as $p(x)$. You are told that the remainder on dividing $p(x)$ by $(x + 1)$ is the same as the remainder on dividing $p(x)$ by $(x - 2)$.