I need to separate this polinomial into factors by artifice!? that is the polinomial?


x^5 + x + 1
thats is the walk through
x^5 + x + 1 = x^5 - x^2 + x^2 + x + 1 = x^2 (x^3 - 1) + x^2 + x + 1 = x^2 (x - 1) (x^2 + x + 1) + 1 (x^2 + x + 1) = (x^2 (x - 1) + 1)(x^2 + x + 1) = (x^3 - x^2 + 1)(x^2 + x + 1)\,
AND THAT ...

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