CDS 2023 · PYQ · Algebra · medium
If (x − 1)³ is a factor of x⁴ + αx³ + βx² + γx − 1, then the other factor will be:
Answer
The correct answer is C: x + 1. Since the product of roots = −1 and three roots are 1, the fourth root is −1. So the other factor is (x + 1).
- A.x + 2
- B.x − 3
- C.x + 1✓ Correct
- D.x
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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