in Q[x], Z/2[x], and Z/7[x]. in Q[x] we think its x(x-1)(x+1)(x^2-x+1)(x^2+x+1) in Z/2[x] we think its x(x-1)(x+1) and we have no idea about Z/7[x] we've tried using Little Fermats Theorem. THANKEEE YOU!!
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Originally Posted by rpietrov in Q[x], Z/2[x], and Z/7[x]. in Q[x] we think its x(x-1)(x+1)(x^2-x+1)(x^2+x+1) in Z/2[x] we think its x(x-1)(x+1) and we have no idea about Z/7[x] we've tried using Little Fermats Theorem. THANKEEE YOU!! The polynomial contain in any case . The other roots satisfy the equation... (1) ... or, equivalently, one of the equations... (2) (3) The roots of (2) are , and , the roots of (3) are , and so that is... (4) Kind regards
Originally Posted by rpietrov in Q[x] we think its x(x-1)(x+1)(x^2-x+1)(x^2+x+1) Right. in Z/2[x] we think its x(x-1)(x+1) Try again, it should be .
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