Question 1419a

Complex Numbers

2019 Paper 1 Question 1 Variant

Question

The function

{f}

is defined by

f(z)=az^3 + bz^2 + cz + d,

where

{a, b, c}

and

{d}

are real numbers. Given that

{- 3 - 4 \mathrm{i}}

and

{-1}

are roots of

{f(z)=0,}

find

{b, c}

and

{d}

in terms of

{a.}

[4]

Answer

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