The cubic polynomial $\mathrm{f}(x)$ is such that the coefficient of ${{x}^{3}}$ is $2$ and th

Question

The cubic polynomial $\mathrm{f}(x)$ is such that the coefficient of ${{x}^{3}}$ is $2$ and that the roots of the equation $\mathrm{f}(x)=0$ are $-1$, $3$ and $k$. Given that $\mathrm{f}(x)$ has a remainder of $20$ when divided by $x-4$, find the value of $k$ ;[4] the remainder when $\mathrm{f}(x)$ is divided by $x+2$.[2]

Accepted Answer

$k = 2$; Remainder $= -40$

IP3 Class Test (May 2025) Q6

IP3 Class Test (May 2025) Q6

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