1. Remainder Theorem Long Division

2. Long Division Question Divide the following

3. Long Division How many times does x go into x 3 ? Multiply x-3 by x 2. Subtract down. Note 4x 2 – (-3x 2 )=4x 2 + (+3x 2 )=7x 2 Bring down +2x. How many times does x go into 7x 2 ? Multiply x-3 by 7x. Subtract down. Bring down –5. How many times does x go into 23x ? Multiply x-3 by 23. Subtract down.

4. See textbook pg 85 for Computer Algebra System division

5. Synthetic Division 3142-5 1 3 7 21 23 69 64 The division statement is: To find the remainder without doing the division we could substitute 3 into the function. You try one (see Notebook)

6. Remainder Theorem When a function f(x), is divided by x – k the remainder is f(k) Example 1

7. Example 2