Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let f (x) be a non-constant polynomial such that f
A
= f(b) = f(c) = 2. Then the minimum number of roots of the equation f" (x) = 0 in 
is/are 2
is/are 2
B
1
C
0
D
3
Text Solution
Verified by ExpertsThe correct answer is:
B
1
As f = f(b) = f(c), then by Rolle's theorem, we get,
f(c 1 ) = f(c 2 ) = 0 
for some 
Again, applying Rolle's theorem to function y = f’(x),
we have f" = 0 for some 
Hence, the equation f" (x) = 0 has at least one root.
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