Question

In polynomial division, why is the degree of the remainder always one less than the degree of the divisor function?

Answer 1

its not ...

Answer 2

the remainder is "at least" one degree less. It is not "always" one degree less

Answer 3

consider the setup of division like an improper fraction; you divide it out until you get to a remainder that is less than the number you are dividing by ...

Answer 4

Ah yes, thanks. Of course!

Answer 5

You explain things very nicely amistre64. And you always are very generous with your help. Thanks again.

Answer 6

youre welcome ;)