The term containing the highest power of $x$ in the polynomial $\mathrm{f}(x)$ is $5{{x}^{3}}$. The

Question

The term containing the highest power of $x$ in the polynomial $\mathrm{f}(x)$ is $5{{x}^{3}}$. The roots of the equation $\mathrm{f}(x)=0$ are $-2$, $\mathrm{2}$ and $p$.

Find,

an expression, in terms of $x$ and $p$, for $\mathrm{f}(x)$ in descending powers of $x$,
the value of $p$ for which the division of $\mathrm{f}(x)$ by $x+1$ gives a remainder of $-30$,
the remainder when $\mathrm{f}(x)$ is divided by $2x+1$.

Accepted Answer

$p = -3$, Remainder $= -46\frac{7}{8}$

Question 113986

Question 113986

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