(a)[5]
Determine the values of $a$ and $b$.
(b)[3]
Using these values of $a$ and $b$, factorise $p(x)$ completely.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Let the polynomial $ax^3 - 10x^2 + bx + 8$, where $a$ and $b$ are constants, be represented by $p(x)$. It is stated that $(x - 2)$ is a factor of both $p(x)$ and $p'(x)$.