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CDS 2023 · PYQ · Algebra · medium

If (x − 1)³ is a factor of x⁴ + αx³ + βx² + γx − 1, then the other factor will be:

  1. A.x + 2
  2. B.x − 3
  3. C.x + 1✓ Correct
  4. D.x

Explanation

Since the product of roots = −1 and three roots are 1, the fourth root is −1. So the other factor is (x + 1).
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