The function $\mathrm{f}$ is defined by $\mathrm{f}(x) = ax^3 + bx^2 + cx + d$ where $a$, \(b\

Question

The function $\mathrm{f}$ is defined by $\mathrm{f}(x) = ax^3 + bx^2 + cx + d$ where $a$, $b$, $c$ and $d$ are real numbers. Given that $4 + \mathrm{i}$ and $-1$ are roots of $\mathrm{f}(x) = 0$, find $b$, $c$ and $d$ in terms of $a$.[4]

Accepted Answer

$b=-7a,c=9a,d=17a$.

2025 RVHS P1 Q1

2025 RVHS P1 Q1

Solution:

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