Using synthetic division, the quotient of (x³ + 1) ÷ (x – 1) is x² + x + 1.
How to find quotient using synthetic division?
Using sythetic division, the quotient of (x³ + 1) ÷ (x – 1) can be found in the picture below
The remainder is 2 and the quotient is x² + x + 1.
Therefore, it can be represented as follows:
[tex]x^{2}+x+1 + \frac{2}{x-1}[/tex]
learn more on synthetic division here: https://brainly.com/question/3852820
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