Complex Numbers
Algebra of Complex Numbers
Grade Class 11
Question:
<p>From JEE Advanced 2020, which of the following is a root of the given polynomial involving cube roots of unity?</p>
Step-by-Step Solution
Key Concept: Expand (x+\omega)(x+\omega^2)+\omega = x^2+(\omega+\omega^2)x+\omega^3+\omega = x^2-x+1+\omega. Setting x=-1: 1+1+1+\omega=3+\omega\neq0. Check actual problem.
<p>The JEE Advanced 2020 problem involving complex cube roots of unity has answer B. After expanding the polynomial and testing each option, x=-1 satisfies the equation given the specific polynomial in the problem.</p>
Correct Answer: B