Use synthetic division to solve open paren x cubed plus 1 close paren divided by open paren x minus 1 close paren What is the quotient?

For synthetic division by x − 1, use 1 and the coefficients 1, 0, 0, 1. The division gives quotient x² + x + 1 and remainder 2, so the result is x² + x + 1 + 2/(x − 1). That matches choice D.

AI-written and checked against the verified answer.