Consider the polynomial $\mathrm{f}(\mathrm{x})=1+2 \mathrm{x}+3 \mathrm{x}^2+4 \mathrm{x}^3$. Let s be the sum of all distinct real roots of $\mathrm{f}(\mathrm{x})$ and let $\mathrm{t}=|\mathrm{s}|$.
The function $\mathrm{f}^{\prime}(\mathrm{x})$ is
Select the correct option:
A
increasing in $\left(-\mathrm{t},-\frac{1}{4}\right)$ and decreasing in $\left(-\frac{1}{4}, \mathrm{t}\right)$
B
decreasing in $\left(-\mathrm{t},-\frac{1}{4}\right)$ and increasing in $\left(-\frac{1}{4}, \mathrm{t}\right)$
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