find-the-roots-of-P-x-1-ix-jx-2-n-1-with-j-e-i-2pi-3-then-factorize-P-x-inside-C-x-decompose-the-fraction-F-1-P-

Question Number 73485 by abdomathmax last updated on 13/Nov/19

f i n d t h e r o o t s o f P (x) = {(1 + i x + {j x}^{2})}^{n} - 1

w i t h j = e^{i \frac{2 π}{3}} t h e n f a c t o r i z e P (x) i n s i d e C [x]

d e c o m p o s e t h e f r a c t i o n F = \frac{1}{P}