1. January 13, 2010
Synthetic Division
A Shortcut!!!!

2. January 13, 2010
When the divisor is binomial in the form x ± a we can
use synthetic division in place of long division
1. Arrange the dividends terms in descending order of
power.
2. If your binomial is x - a we will use the positive
value for a
If your binomial is x + a we will use the negative value
for a because is represents x -(-a)
3. Organize your value for a and the coefficients as follows
a coefficients in descending order
4. Use an algorithm to solve for the quotient and
remainder

3. January 13, 2010
1. Arrange the dividends terms in descending order of
power.
2. If your binomial is x - a we will use the positive
We will use and example to value for a
explain the algorithm If your binomial is x + a we will use the negative value
for a because is represents x -(-a)
3 2
6x + 16x - 19x - 4 3. Organize your value for a and the coefficients as follows
divided by a coefficients in descending order
x-2
4. Use an algorithm to solve for the quotient and
remainder

4. January 13, 2010
Use synthetic division to find the quotient
and if possible a remainder

5. January 13, 2010
For each of the following find the quotient and if possible a
remainder using both long and synthetic division methods, check
to make sure you get the same answers
3 2
x + 2x - 5x - 6 ÷ (x - 3)

6. January 13, 2010
For each of the following find the quotient and if possible a
remainder using both long and synthetic division methods, check
to make sure you get the same answers
4 3
(x - 2x +5x + 2) ÷ (x + 1)

7. January 13, 2010
Assignment
Ex 53
page 122
q4-7