The polynomial is exactly divisible by , if

Maths Complex Number Skill Builder Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

are rational

are integers

are positive integers

none of these

Text Solution

Verified by Experts

The correct answer is:

Step 1: Roots of

Roots are cube roots of unity (except 1):

Divisible if and

Step 2: Substitute

Similarly,

Step 3: Condition on exponents

The powers must be integers to apply properly.

So m, n, k must be integers

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