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PRINCIPLE OF MATHEMATICAL INDUCTION — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPRINCIPLE OF MATHEMATICAL INDUCTION1 Mark
MCQ
Choose the correct answer. If $x^n-1$ is divisible by $x-k$, then the least positive integral value of $k$ is:
  • ✓
    1
  • B
    2
  • C
    3
  • D
    4
✓

Answer

Correct option: A.
1
  1. 1
Solution:
Let $P(n)=x^n-1$ is divisible by $x-k$
$P(1)=x-1$ is divisible by $x-k$.
Since $x-1$ is divisible by $x-1$, the least integral value of $k$ is 1 .

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