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

Solution:

x³ + 1/x² - x + 1 can be simplified by polynomial division.

Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence.

Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too. 

Therefore, the remainder is zero.

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

Summary:

The remainder when (x³ + 1) is divided by (x² - x + 1) is zero.