1) find the roots of p(x)=(1+ix +x^2 )^n −(1−ix+x^2 )^n with n integr natural 2) factorize p(x) inside C(x) 3) give p(x) at form Σ a


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Question Number 40042 by abdo mathsup 649 cc last updated on 15/Jul/18

$1) f i n d t h e r o o t s o f$ $p (x) = {(1 + i x + x^{2})}^{n} - {(1 - i x + x^{2})}^{n} w i t h n i n t e g r$ $n a t u r a l$ $2) f a c t o r i z e p (x) i n s i d e C (x)$ $3) g i v e p (x) a t f o r m Σ a_{p} x^{p}$
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