Paper 3 May/June 2007 MATHEMATICH (9709/3) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

The polynomial $p\left( z \right)$ is defined by
$p\left( z \right) = {z^3} + m{z^2} + 24z + 32$,
where $m$ is a constant. It is given that $\left( {z + 2} \right)$ is a factor of $p\left( z \right)$.
a) Find the value of $m$.
b) Hence, showing all your working, find
(i) the three roots of the equation $p\left( z \right) = 0$,
(ii) the six roots of the equation $p\left( {{z^2}} \right)…