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Functions question

2010 · Shift 2 · Q35

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PYQ Library
JEE Advanced
Mathematics
Functions
2010 · Shift 2 · Q35

Functions question

2010 · Shift 2 · Q35

JEE AdvancedMathematicsFunctionsMCQ+4 / −1

Consider the polynomial

f\left( x \right) = 1 + 2x + 3{x^2} + 4{x^3}.

Let

s

be the sum of all distinct real roots of

f(x)

and let

t = \left| s \right|.

The real numbers lies in the interval

A
$\left( { - {1 \over 4},0} \right)$
B
$\left( { - 11, - {3 \over 4}} \right)$
C
$\left( { - {3 \over 4}, - {1 \over 2}} \right)$
D
$\left( {0,{1 \over 4}} \right)$

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