Q. The number of real roots of $f(x) = 0$, where $f(x) = (x - 1)(x - 2)(x - 3)(x - 4)$ lying in the interval (1, 3) is
A) 1
B) 2
C) 3
D) 4
Explanation
(a)
Given, $f(x) = (x - 1)(x - 2)(x - 3)(x - 4)$
The real roots are 1, 2, 3, 4
Hence, only 2 lies in the interval (1, 3)
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.