Answer
Fill the blanks in with
divisor ... quotient ... remainder ... dividend
Work Step by Step
The algorithm of polynomial division was derived from the long division of numbers, so the same principles apply.
dividend$\div$divisor=quotient +$\displaystyle \frac{remainder}{divisor}$
To check the result (see box: The Division Algorithm on p.367)
dividend = (divisor)(quotient) +(remainder)
we multiply the divisor with the quotient,
and then add the remainder.
You should obtain the dividend