Question: what is the difference between synthetic division and long division?
Answer: In the long division, I divided by the factor x + 3, and arrived at the result of x + 2 with a remainder of zero. ... In the synthetic division, I divided by x = –3, and arrived at the same result of x + 2 with a remainder of zero. Because the remainder is zero, this means that x + 3 is a factor and x = –3 is a zero.