Find the remainder when x^3 + 4x^2 - 7x + 6 is divided by x - 3, by using the remainder theorem, and by long division.
Since my latex sucks when it comes to more than the basics I will scan it in.
Edit 1: the main idea is to divide each term by x initially and then multiply this answer back with the x and the -3. Write that underneath the existing part and then subtract before moving along each power of x until you reach the constant term and that number is the remainder