Question
Question: Let a, b be two different roots of a polynomial f(x). Then there exist at least one root lying betwe...
Let a, b be two different roots of a polynomial f(x). Then there exist at least one root lying between a and b of the polynomial equation-
A
f(x)
B
f ¢(x) = 0
C
f ¢¢(x) = 0
D
None of these
Answer
f ¢(x) = 0
Explanation
Solution
According to Rolle's theorem between two roots of f(x) = 0 atleast one root of f ¢(x) = 0 lies.