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:

or

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on August 30, 2015 at 8:53 AM |el profe samithank for sharing this. Really helpul info on synthetic division