Q .     Consider the polynomial `f(x) = 1 + 2x + 3x^2 + 4x^3`. Let s be the sum of all distinct real roots of f(x) and let t = |s|.
The function `f'(x)` is

JEE 2010 ADVANCED Paper 2
A

increasing in `(- t, -\frac{1}{4})` and decreasing in `(- \frac{1}{4}, t)`

B

decreasing in `(- t, -\frac{1}{4})` and increasing in `(- \frac{1}{4}, t)`

C

increasing in `(-t, t)`

D

decreasing in `(-t, t)`

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