Question

Use synthetic division to solve (x^3 + 1) / (x - 1). What is the quotient?

x^2+x+1+2/x+1
x^2-x+1
x^2+x+1+ 2/x-1
x^3 - x^2 + x

Answer 1

(x²+x+1) + 2/(x-1)

Explanation:

(x³ - x² + x² - x + x - 1 + 1 + 1)/(x - 1)

[x²(x-1) + x(x-1) + 1(x-1) + 2]/(x-1)

(x²+x+1) + 2/(x-1)

Answer 2

The answer is C I hope this helps