Question

$x4 + 1 \div x - 1$
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Answer 1

$\bold\violet{\boxed{Answer}}$

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

- x^4 - x^3

__________

x^3 + 1

- x^3 - x^2

____________

x^2 + 1

- x^2 - x

_________

x + 1

- x - 1

_________

2

_____________✨

➪ ( x - 1 ) ( x^3 + x^2 + x + 1 )

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

➪ x^4 - 1 ✔︎