Question

(X+1) was a factor of x^n+1 when??​

Answer 1

Answer:

when n is an odd integer.

Step-by-step explanation:

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Answer 2

Answer:

When n is odd.

Step-by-step explanation:

Let, h is odd number x^n +1 can be factorized as (x+1)(1−x+x^2 =x^3 +.....x^n−1 )

This (x+1) is a factor

Take p(x) = x^n+1

 When n is odd, we get, p(−1) = −1+1

                                                = 0

(x+1) is a factor of p(x).

Hence, this is the answer.

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