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

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CDS Elementary Mathematics 3 Sep 2023 Official Paper
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  1. x + 1
  2. x - 3
  3. x + 2
  4. x

Answer (Detailed Solution Below)

Option 1 : x + 1
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Detailed Solution

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Calculation:

(x - 1)3 = x3 - 3x2 + 3x - 1
F1 Vinanti Defence 01.12.23 D11

∴ Other factor will be x + 1

Confusion PointsFocus only on the constant terms of the expression (α - 4)x3 + βx2 + (γ - 2)x. Try to find a factor to divide it by, such that subtracting it from -1 makes the expression equal to zero

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