Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let 
and 
be the roots of f(x)=0, where 
. The value of 
is equal to (where [.] denotes the greatest integer function)
Text Solution
Verified by ExpertsThe correct answer is:
D
d) -3
f(x) = x 3 + x 2 - 5x - 1
f’(x) = 3x 2 + 2x - 5 = (x - 1) (3x + 5)
point of local maxima,
x = 1 
point of local minima,
Increasing function in 
Decreasing function in 
Also, f (0) = -1, f (1) = -4, f (2) = 1, f(-1) = 5
f(-2) = -8 + 4 + 10-1 = 5
f (-3) = -27 + 9 + 15 - 1 = -4
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