Divide x^3 − 6x^2 + 11x − 6 by (x − 1) via synthetic division; what is the remainder and quotient?

Divide x^3 − 6x^2 + 11x − 6 by (x − 1) via synthetic division; what is the remainder and quotient?

A Remainder −1; quotient x^2 − 5x + 5

B Remainder 0; quotient x^2 − 5x + 6

C Remainder 1; quotient x^2 − 7x + 6

D Remainder 0; quotient x^2 − 6x + 11

Solution

Correct Answer: Option B