Question 6
The polynomial $3x^3+pax^2+7a^2x+qa^3$ is denoted by $\mathrm{f}(x)$, where $p$, $q$ and $a$ are constants and $a \ne 0$.
When $\mathrm{f}(x)$ is divided by $(x+2a)$ the remainder is $-22a^3$. When $\mathrm{f}(x)$ is divided by $(3x-a)$ the remainder is $-a^3$.
Find the values of $p$ and $q$.
When $\mathrm{f}(x)$ is divided by $(x+2a)$ the remainder is $-22a^3$. When $\mathrm{f}(x)$ is divided by $(3x-a)$ the remainder is $-a^3$.
Find the values of $p$ and $q$.
