1. 5.2
Dividing Polynomials

2. Dividing by a monomial
Example 1:

3. Remember!

4. Polynomial Long Division - Same format as dividing numbers
Polynomial Long Division - Same format as dividing numbers. Use FILLERS for standard form!
Example 2:
Divide x3 – 4x2 + 8 by x – 1

5. Example 3
Simplify: (4x2 – 8x – 7)(2x – 3)–1

6. Example 4:
a. (y4 + 2y2 – y + 5) divided by (y2 – y +1)

7. Synthetic Division Example 5: a. x3 – x2 –2x + 8 by x – 1
- Used when divisor is in the form x – k.
- Polynomial must be in standard form. Use FILLERS if terms are
missing.
- Create a polynomial out of coefficients that are left under the line.
- The power of the first term is one less than the degree of the dividend.
- The final number is the remainder.
Example 5:
a. x3 – x2 –2x + 8 by x – 1

8. Example 6: Find the Remainder
2x3 + 13x – 7 by x + 6

9. Example 7: Simplfiy.
(4y4 – 6y2 + 4y – 1) (y – 2)-1

10. Example 8