Question

Using factor theorem to prove that (x+a) is a factor of (x^n+a^n)for any odd positive integer n.

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

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let p(x) = x^n + a^n , Where n is odd positive integer

g(x) = x + a

= x + a = 0

= x = — a

p(—a) = (—a)^n + (a)^n

= —a^n + a^n

= 0

since is odd number

therefore by factor theorem m, x + a is a factor of p(x) Where n is odd positive integer...

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