Question

(x+1) is a factor of xn + 1 only
if ​

Answer 1

x+1 is a factor of xn+1 only if. [a] n is an odd integer. [b] n is an even integer. [c] n is a negative integer.

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Answer 2

Answer:

n is an odd number

Step-by-step explanation:

We have,

Let, h is odd number xn+1 can be factorised as (x+1)(1 − x + x2 = x3 +.....xn − 1)

This (x+1) is a factor

Take p(x)=xn+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.