divide x⁴+1 by (x_1)
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x⁴+1/x-1
=(x²)²+1¹/x-1
=(x²+1)(x²-1)/x-1
=(x+1)(x-1)(x²-1)/x-1
=(x+1)(x²-1)
=x³-x+x²-1
=x³+x²-x-1
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