Q. If the roots of $x^{3} - 3x^{2} - 6x + 8 = 0$ are in arithmetic progression, then the roots of the equation are
A) 3, 4, 5
B) 4, 7, 10
C) -2, 1, 4
D) 1, 4, 7
Explanation
(c)
Sum of the roots
$= - \frac{b}{a} = - \frac{( - 3)}{1} = 3$
From the given options only (c) $ie,\ - 2,\ 1,\ 4$ satisfies this condition
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.