Polynomial DIVISION

We have two methods for dividing polynomials:

(1) Long division. Long (like the name), takes time, and is kind of hard. But it's the ONLY method that works if you are dividing by ax+b, where a is ANYTHING besides =1.

Long division is shown on the left examples in the picture here.

(2) Synthetic division. Shorter, most people seem to find it easier. But it ONLY works if a=1 (dividing by x+b or x-b).

Synthetic division is shown on the right examples in the picture here. (click to enlarge)

Long Division Steps: 

1. Does                           Divide
2. McDonalds                 Multiply
3. Sell                             Subtract
4. Cheese                       Compare/check
5. Burgers?                     Bring down      then  Go back to step 1.

Synthetic Division Steps:  Bring Down 1st number.  Multiply, Add.  Multiply,Add; until done.