Do not use a calculator in answering this question. The function $\mathrm{f}$ is defined by $\mathrm

Question

Do not use a calculator in answering this question. The function $\mathrm{f}$ is defined by $\mathrm{f}\left( z \right)=4{{z}^{3}}-12{{z}^{2}}+13z-10$. Given that $\mathrm{f}\left( \frac{1}{2}+\mathrm{i} \right)=0$, find all the roots of $\mathrm{f}\left( z \right)$. [4]

Accepted Answer

$z = 2$, $\displaystyle\frac{1}{2}+\mathrm{i}$, $\displaystyle\frac{1}{2}-\mathrm{i}$

2021 EJC P2 Q1

2021 EJC P2 Q1

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