Consider the polynomial... | Maths | JEE ADVANCED 2010

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JEE Advance 2010

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Question

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 real number s lies in the interval

Select the correct option:

A

$\left(-\frac{1}{4}, 0\right)$

B

$\left(-11,-\frac{3}{4}\right)$

C

$\left(-\frac{3}{4},-\frac{1}{2}\right)$

D

$\left(0, \frac{1}{4}\right)$

✓ Correct! Well done.

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Solution

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