factorisation of x^4+2x+1
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x⁴+2x+1
= (x+1)(x³−x²+x+1)
Anonymous:
(x+1)(x³−x²+x+1) = x(x³-x²+x+1)+1(x³-x²+x+1) = x⁴-x³+x²+x+x³-x²+x+1 = x⁴+2x+1
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