samuel425012
samuel425012 samuel425012
  • 14-09-2016
  • Mathematics
contestada

what is the product of x^4-1/x+1? show all work

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nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 18-09-2016

            x^3 - x^2 + x - 1
x + 1    x^4 - 1
        -(  x^4 + x^3
                 -x^3 - 1
        -(       -x^3 - x^2
                       x^2 - 1
        -(             x^2 + x
                             -x - 1
        -(                   -x - 1

Therefore, (x^4 - 1)/(x + 1) = x^3 - x^2 + x - 1
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