We just finished talking about synthetic division in the College Algebra course today and got into a discussion of how to represent the remainder. For example, given the problem:
The answer turns out to be: or you can say that the answer is: . This all goes back to the division algorithm which says that given two numbers and , then solving the problem means finding , the quotient and , the remainder such that (with ) .
If we take the expression and divide on both sides by , then we’ll have or .
Which of these forms we prefer depends on whether we want to say that: