let give p(x)=(x+j)^n −(x−j)^n with j=e^(i((2π)/3)) 1) find roots of p(x) 2) factorize inside C[ x] p(x) 3)factorize inside R[x] p(x).


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Question Number 31495 by abdo imad last updated on 09/Mar/18

$l e t g i v e p (x) = {(x + j)}^{n} - {(x - j)}^{n} w i t h j = e^{i \frac{2 π}{3}}$ $1) f i n d r o o t s o f p (x)$ $2) f a c t o r i z e i n s i d e C [x] p (x)$ $3) f a c t o r i z e i n s i d e R [x] p (x) .$
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