This is what I got, is it right? (My first time doing the Remainder Theorem)P(3) = x^3 + 4x^2 - 7x + 6
P(3) = (3)^3 + 4(3)^2 – 7(3) + 6
P(3) = 27 + 36 – 21 + 6
P(3) = 48
Therefore, the remainder of x^3 + 4x^2 - 7x + 6 divided by x – 3 is 48
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