1. Section 4.8 Long Division and Synthetic Division

2. In this section, you will learn how to divide a “polynomial” by a “binomial”
Long Division
Straight Forward
Long
Synthetic Division
Fast & Easy
2 Small exceptions
Division Statement

3. I) Review: Long Division
Ex: Divide the Following Using Long Division
Dividend
Dividend
Divisor:
Divisor
Quotient:
Quotient:
Remainder:
Remainder:
Division Statement:

4. II) Long Division with Polynomials
Division Statement:

5. Practice: Divide Using Long Division & Write the Division Statement

6. Website For Practicing Long Division:
Press Button to Open Hyperlink to Long Division Website:

7. III) Synthetic Division:
Synthetic Division is an alternative to Long Division: Used for dividing polynomials
Take the coefficients of your dividend:
Place the divisor in front:

8. Practice: Take the coefficients of your dividend:
Place the divisor in front:

9. Two Reminders with Synthetic Division
i)If the Dividend is missing a term (skip in the exponents), replace missing term with coefficient of zero
2. If Divisor has a coefficient for the x-term, solve for “x” from the divisor. Do synthetic division. At the end, divide the quotient by the coefficient in the divisor.

10. Practice: Take the coefficients of your dividend:
Place the divisor in front:
For the Quotient, divide all the coefficients by 2