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Proof by mathematical induction

If xn-1 is di...

Question

If $x^{n} - 1$ is divisible of x - $λ$ , then the least positive integral value of $λ$ is

A

1

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B

2

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C

3

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D

4

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Solution

The correct option is A
1

Let P(n) : $x^{n} - 1$ is divisible by $(x - γ)$

For n = 1. $x^{1} - 1$ is divisible by $(x - γ)$ .

Since, if x - 1 is divisible by $x - γ$ . Then, the least possible integral value of $γ i s 1$ .

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