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-a-p-x-p-

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}