Use factor theorem to verify that x+a is a factor xn+afor any odd positive integer

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X+a=0;x=-a P(x)=xn + an P(a)=-an +an=0 By factor theoren if p(x)=0 then x-a is a factor of p(x).
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The zero of x+a is -a .Hence p(-a) is the remainder=-an+an=0.Since the remainder is zero x+a is a factor
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