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Use factor theoram to prove that (x+a) is a factor of (x power n + a power n ) for any odd positive integer chapter 2 d ka 26?
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Use factor theoram to prove that (x+a) is a factor of (x power n + a p...
Ans.

Let p(x) = x^n + a^n , where n is odd positive integer.
Take (x+a)= 0
=> x = -a

Consider:
p(-a) = (-a) ^n + (a) ^n
= -a^n + a^n
= 0
Since, n is odd.

By Factor theorem,
(x+a) is a factor of p(x) when n is odd positive integer.
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Use factor theoram to prove that (x+a) is a factor of (x power n + a power n ) for any odd positive integer chapter 2 d ka 26?
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