What is the remainder when (x3 + 1) is divided by (x2 - x + 1) ?

A. x+1

B. x

C. 2

D. 0

Answer: x+1

Step-by-step explanation:

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

Factor the expression

= (x+1) (x^2-x+1) / (x^2-x+1)

= x+1

x+1

Step-by-step explanation:

x^3 + 1 is the sum of cubes

We can factor this into

(a^2 + b^2) = (a+b) (a^2 - ab+b^2)

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

= (x+1) (x^2 - x+1)

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

(x+1) (x^2 - x+1) / (x^2 - x+1)

(x+1)