(i)[2]
Show, using the factor theorem, that $(x + 3)$ is a factor of $p(x)$.
(ii)[3]
Fully factorise $p(x)$.
(iii)[3]
Hence, for the equation $2^{3u+2} + 4^{u+1} = 29 \times 2^u + 15$, determine the value of $2^u$ and, by using logarithms, determine $u$ correct to 3 significant figures.
(c(iii))[3]
Hence, for the equation $2^{3u+2} + 4^{u+1} = 29 \times 2^u + 15$, work out the value of $2^u$ and, by using logarithms, work out $u$ correct to 3 significant figures.